10509643872 has 216 divisors, whose sum is σ = 37441259856. Its totient is φ = 2771725824.

The previous prime is 10509643811. The next prime is 10509643931. The reversal of 10509643872 is 27834690501.

10509643872 is a `hidden beast` number, since 1 + 0 + 509 + 64 + 3 + 87 + 2 = 666.

It is a super-2 number, since 2×10509643872² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154813 + ... + 212099.

It is an arithmetic number, because the mean of its divisors is an integer number (173339166).

It is a 1-persistent number, because it is pandigital, but 2⋅10509643872 = 21019287744 is not.

Almost surely, 2^10509643872 is an apocalyptic number.

10509643872 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 10509643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720629928).

10509643872 is an abundant number, since it is smaller than the sum of its proper divisors (26931615984).

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

10509643872 is a wasteful number, since it uses less digits than its factorization.

10509643872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57330 (or 57312 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10509643872 in words is "ten billion, five hundred nine million, six hundred forty-three thousand, eight hundred seventy-two".