26771520000 has 400 divisors, whose sum is σ = 90506528640. Its totient is φ = 7028736000.

The previous prime is 26771519993. The next prime is 26771520047. The reversal of 26771520000 is 2517762.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×26771520000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 26771520000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75839824 + ... + 75840176.

Almost surely, 2^26771520000 is an apocalyptic number.

26771520000 is a gapful number since it is divisible by the number (20) 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 26771520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45253264320).

26771520000 is an abundant number, since it is smaller than the sum of its proper divisors (63735008640).

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

26771520000 is an frugal number, since it uses more digits than its factorization.

26771520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 26771520000 in words is "twenty-six billion, seven hundred seventy-one million, five hundred twenty thousand".