10657868448 has 192 divisors, whose sum is σ = 29454630912. Its totient is φ = 3370429440.

The previous prime is 10657868447. The next prime is 10657868471. The reversal of 10657868448 is 84486875601.

It is a super-2 number, since 2×10657868448² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10657868447) 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, 61606090 + ... + 61606262.

It is an arithmetic number, because the mean of its divisors is an integer number (153409536).

Almost surely, 2^10657868448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10657868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727315456).

10657868448 is an abundant number, since it is smaller than the sum of its proper divisors (18796762464).

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

10657868448 is a wasteful number, since it uses less digits than its factorization.

10657868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 10657868448 in words is "ten billion, six hundred fifty-seven million, eight hundred sixty-eight thousand, four hundred forty-eight".