10388552832 has 256 divisors, whose sum is σ = 35251200000. Its totient is φ = 2950345728.

The previous prime is 10388552771. The next prime is 10388552873. The reversal of 10388552832 is 23825588301.

10388552832 is a `hidden beast` number, since 10 + 3 + 8 + 8 + 552 + 83 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4329169 + ... + 4331567.

It is an arithmetic number, because the mean of its divisors is an integer number (137700000).

Almost surely, 2^10388552832 is an apocalyptic number.

10388552832 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 10388552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600000).

10388552832 is an abundant number, since it is smaller than the sum of its proper divisors (24862647168).

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

10388552832 is a wasteful number, since it uses less digits than its factorization.

10388552832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10388552832 in words is "ten billion, three hundred eighty-eight million, five hundred fifty-two thousand, eight hundred thirty-two".