10599406272 has 672 divisors, whose sum is σ = 40828569600. Its totient is φ = 2550030336.

The previous prime is 10599406249. The next prime is 10599406289. The reversal of 10599406272 is 27260499501.

10599406272 is a `hidden beast` number, since 10 + 5 + 9 + 9 + 4 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10599406272² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28881033 + ... + 28881399.

It is an arithmetic number, because the mean of its divisors is an integer number (60756800).

Almost surely, 2^10599406272 is an apocalyptic number.

10599406272 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 10599406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414284800).

10599406272 is an abundant number, since it is smaller than the sum of its proper divisors (30229163328).

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

10599406272 is a wasteful number, since it uses less digits than its factorization.

10599406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10599406272 in words is "ten billion, five hundred ninety-nine million, four hundred six thousand, two hundred seventy-two".