10158325632 has 576 divisors, whose sum is σ = 37246809600. Its totient is φ = 2633637888.

The previous prime is 10158325607. The next prime is 10158325643. The reversal of 10158325632 is 23652385101.

10158325632 is a `hidden beast` number, since 1 + 0 + 15 + 8 + 3 + 2 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 79986753 + ... + 79986879.

It is an arithmetic number, because the mean of its divisors is an integer number (64664600).

Almost surely, 2^10158325632 is an apocalyptic number.

10158325632 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 10158325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623404800).

10158325632 is an abundant number, since it is smaller than the sum of its proper divisors (27088483968).

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

10158325632 is a wasteful number, since it uses less digits than its factorization.

10158325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 10158 and 325632, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 10158325632 in words is "ten billion, one hundred fifty-eight million, three hundred twenty-five thousand, six hundred thirty-two".