10256800485376 has 117 divisors (see below), whose sum is σ = 20705146573671. Its totient is φ = 5080335261696.

The previous prime is 10256800485343. The next prime is 10256800485419. The reversal of 10256800485376 is 67358400865201.

It is a happy number.

The square root of 10256800485376 is 3202624.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10256800485376² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33409773415 + ... + 33409773721.

Almost surely, 2^{10256800485376} is an apocalyptic number.

10256800485376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10256800485376 is the 3202624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256800485376

10256800485376 is an abundant number, since it is smaller than the sum of its proper divisors (10448346088295).

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

10256800485376 is an frugal number, since it uses more digits than its factorization.

10256800485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 10256800485376 in words is "ten trillion, two hundred fifty-six billion, eight hundred million, four hundred eighty-five thousand, three hundred seventy-six".