10512882432 has 360 divisors, whose sum is σ = 34382982480. Its totient is φ = 3175096320.

The previous prime is 10512882397. The next prime is 10512882451. The reversal of 10512882432 is 23428821501.

It is a happy number.

10512882432 is a `hidden beast` number, since 10 + 512 + 88 + 24 + 32 = 666.

It is a super-2 number, since 2×10512882432² (a number of 21 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15904182 + ... + 15904842.

Almost surely, 2^10512882432 is an apocalyptic number.

10512882432 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 10512882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191491240).

10512882432 is an abundant number, since it is smaller than the sum of its proper divisors (23870100048).

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

10512882432 is an equidigital number, since it uses as much as digits as its factorization.

10512882432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10512882432 in words is "ten billion, five hundred twelve million, eight hundred eighty-two thousand, four hundred thirty-two".