10172624832 has 168 divisors, whose sum is σ = 31102621056. Its totient is φ = 3167698944.

The previous prime is 10172624821. The next prime is 10172624857. The reversal of 10172624832 is 23842627101.

It is a happy number.

10172624832 is a `hidden beast` number, since 1 + 0 + 172 + 6 + 2 + 483 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337713 + ... + 1345295.

Almost surely, 2^10172624832 is an apocalyptic number.

10172624832 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 10172624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551310528).

10172624832 is an abundant number, since it is smaller than the sum of its proper divisors (20929996224).

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

10172624832 is a wasteful number, since it uses less digits than its factorization.

10172624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10172624832 in words is "ten billion, one hundred seventy-two million, six hundred twenty-four thousand, eight hundred thirty-two".