10657645152 has 144 divisors (see below), whose sum is σ = 35144073216. Its totient is φ = 2768198400.

The previous prime is 10657645123. The next prime is 10657645157. The reversal of 10657645152 is 25154675601.

10657645152 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 2×10657645152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657645157) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15777 + ... + 146847.

It is an arithmetic number, because the mean of its divisors is an integer number (244056064).

Almost surely, 2^10657645152 is an apocalyptic number.

10657645152 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 10657645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572036608).

10657645152 is an abundant number, since it is smaller than the sum of its proper divisors (24486428064).

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

10657645152 is a wasteful number, since it uses less digits than its factorization.

10657645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131113 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

It can be divided in two parts, 1065764 and 5152, that added together give a triangular number (1070916 = T₁₄₆₃).

The spelling of 10657645152 in words is "ten billion, six hundred fifty-seven million, six hundred forty-five thousand, one hundred fifty-two".