10057257424 has 40 divisors (see below), whose sum is σ = 19779448320. Its totient is φ = 4953187200.

The previous prime is 10057257349. The next prime is 10057257433. The reversal of 10057257424 is 42475275001.

10057257424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10057257424² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535554 + ... + 554014.

It is an arithmetic number, because the mean of its divisors is an integer number (494486208).

Almost surely, 2^10057257424 is an apocalyptic number.

It is an amenable number.

10057257424 is a deficient number, since it is larger than the sum of its proper divisors (9722190896).

10057257424 is a wasteful number, since it uses less digits than its factorization.

10057257424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18979 (or 18973 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The spelling of 10057257424 in words is "ten billion, fifty-seven million, two hundred fifty-seven thousand, four hundred twenty-four".