10057257735 has 32 divisors (see below), whose sum is σ = 18397632000. Its totient is φ = 4595799168.

The previous prime is 10057257731. The next prime is 10057257751. The reversal of 10057257735 is 53775275001.

It is a happy number.

It is not a de Polignac number, because 10057257735 - 2² = 10057257731 is a prime.

It is a super-2 number, since 2×10057257735² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057257731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271224 + ... + 306066.

It is an arithmetic number, because the mean of its divisors is an integer number (574926000).

Almost surely, 2^10057257735 is an apocalyptic number.

10057257735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10057257735 is a deficient number, since it is larger than the sum of its proper divisors (8340374265).

10057257735 is a wasteful number, since it uses less digits than its factorization.

10057257735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37607.

The product of its (nonzero) digits is 257250, while the sum is 42.

The spelling of 10057257735 in words is "ten billion, fifty-seven million, two hundred fifty-seven thousand, seven hundred thirty-five".