10109686272 has 320 divisors, whose sum is σ = 32474112000. Its totient is φ = 2790789120.

The previous prime is 10109686261. The next prime is 10109686297. The reversal of 10109686272 is 27268690101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16331979 + ... + 16332597.

It is an arithmetic number, because the mean of its divisors is an integer number (101481600).

Almost surely, 2^10109686272 is an apocalyptic number.

10109686272 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 10109686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237056000).

10109686272 is an abundant number, since it is smaller than the sum of its proper divisors (22364425728).

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

10109686272 is an frugal number, since it uses more digits than its factorization.

10109686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10109686272 in words is "ten billion, one hundred nine million, six hundred eighty-six thousand, two hundred seventy-two".