10642788847872 has 360 divisors, whose sum is σ = 33616642635576. Its totient is φ = 3337422372864.

The previous prime is 10642788847871. The next prime is 10642788847883. The reversal of 10642788847872 is 27874888724601.

10642788847872 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 7 + 8 + 88 + 478 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 463728312576 + 10179060535296 = 680976^2 + 3190464^2 .

It is a super-2 number, since 2×10642788847872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10642788847872.

It is not an unprimeable number, because it can be changed into a prime (10642788847871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 998661168 + ... + 998671824.

Almost surely, 2^{10642788847872} is an apocalyptic number.

10642788847872 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 10642788847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808321317788).

10642788847872 is an abundant number, since it is smaller than the sum of its proper divisors (22973853787704).

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

10642788847872 is a wasteful number, since it uses less digits than its factorization.

10642788847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13535 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 539492352, while the sum is 72.

The spelling of 10642788847872 in words is "ten trillion, six hundred forty-two billion, seven hundred eighty-eight million, eight hundred forty-seven thousand, eight hundred seventy-two".