10257005772024 has 48 divisors (see below), whose sum is σ = 28185573720360. Its totient is φ = 3108183566400.

The previous prime is 10257005772017. The next prime is 10257005772157. The reversal of 10257005772024 is 42027750075201.

It is a happy number.

It is a super-2 number, since 2×10257005772024² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766010487 + ... + 1766016294.

Almost surely, 2^{10257005772024} is an apocalyptic number.

It is an amenable number.

10257005772024 is an abundant number, since it is smaller than the sum of its proper divisors (17928567948336).

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

10257005772024 is a wasteful number, since it uses less digits than its factorization.

10257005772024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532026812 (or 3532026797 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 42.

The spelling of 10257005772024 in words is "ten trillion, two hundred fifty-seven billion, five million, seven hundred seventy-two thousand, twenty-four".