5267275776000 has 1944 divisors, whose sum is σ = 22939130446596. Its totient is φ = 1203948748800.

The previous prime is 5267275775999. The next prime is 5267275776047. The reversal of 5267275776000 is 6775727625.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 9! ⋅ (2!)².

5267275776000 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 2 + 7 + 577 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3560678424576 + 1706597351424 = 1886976^2 + 1306368^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a compositorial, being equal to the product of composites up to 21.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 752467967997 + ... + 752467968003.

Almost surely, 2^{5267275776000} is an apocalyptic number.

5267275776000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267275776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469565223298).

5267275776000 is an abundant number, since it is smaller than the sum of its proper divisors (17671854670596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5267275776000 is an frugal number, since it uses more digits than its factorization.

5267275776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 5267275776000 in words is "five trillion, two hundred sixty-seven billion, two hundred seventy-five million, seven hundred seventy-six thousand".