10257900912 has 240 divisors, whose sum is σ = 36027194112. Its totient is φ = 2758302720.

The previous prime is 10257900869. The next prime is 10257900949. The reversal of 10257900912 is 21900975201.

It is a super-2 number, since 2×10257900912² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451587 + ... + 473757.

Almost surely, 2^10257900912 is an apocalyptic number.

10257900912 is a gapful number since it is divisible by the number (12) 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 10257900912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013597056).

10257900912 is an abundant number, since it is smaller than the sum of its proper divisors (25769293200).

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

10257900912 is a wasteful number, since it uses less digits than its factorization.

10257900912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22218 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10257900912 in words is "ten billion, two hundred fifty-seven million, nine hundred thousand, nine hundred twelve".