5277892608000 has 1440 divisors, whose sum is σ = 20366837579088. Its totient is φ = 1358954496000.

The previous prime is 5277892607921. The next prime is 5277892608047. The reversal of 5277892608000 is 8062987725.

It is a happy number.

5277892608000 is a `hidden beast` number, since 5 + 27 + 7 + 8 + 9 + 2 + 608 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 85619441664 + 5192273166336 = 292608^2 + 2278656^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54411263952 + ... + 54411264048.

Almost surely, 2^{5277892608000} is an apocalyptic number.

5277892608000 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 5277892608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183418789544).

5277892608000 is an abundant number, since it is smaller than the sum of its proper divisors (15088944971088).

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

5277892608000 is an frugal number, since it uses more digits than its factorization.

5277892608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 5277892608000 in words is "five trillion, two hundred seventy-seven billion, eight hundred ninety-two million, six hundred eight thousand".