10232157600 has 1152 divisors, whose sum is σ = 45597081600. Its totient is φ = 2164838400.

The previous prime is 10232157577. The next prime is 10232157601. The reversal of 10232157600 is 675123201.

It is a happy number.

10232157600 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 1 + 57 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10232157601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173426371 + ... + 173426429.

It is an arithmetic number, because the mean of its divisors is an integer number (39580800).

Almost surely, 2^10232157600 is an apocalyptic number.

10232157600 is a gapful number since it is divisible by the number (10) 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 10232157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798540800).

10232157600 is an abundant number, since it is smaller than the sum of its proper divisors (35364924000).

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

10232157600 is a wasteful number, since it uses less digits than its factorization.

10232157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10232157600 in words is "ten billion, two hundred thirty-two million, one hundred fifty-seven thousand, six hundred".