10872920386944 has 640 divisors, whose sum is σ = 40758173406720. Its totient is φ = 2795000463360.

The previous prime is 10872920386879. The next prime is 10872920386967. The reversal of 10872920386944 is 44968302927801.

10872920386944 is a `hidden beast` number, since 1 + 0 + 87 + 2 + 92 + 0 + 386 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77368389 + ... + 77508795.

It is an arithmetic number, because the mean of its divisors is an integer number (63684645948).

Almost surely, 2^{10872920386944} is an apocalyptic number.

10872920386944 is a gapful number since it is divisible by the number (14) 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 10872920386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379086703360).

10872920386944 is an abundant number, since it is smaller than the sum of its proper divisors (29885253019776).

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

10872920386944 is a wasteful number, since it uses less digits than its factorization.

10872920386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140548 (or 140527 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10872920386944 in words is "ten trillion, eight hundred seventy-two billion, nine hundred twenty million, three hundred eighty-six thousand, nine hundred forty-four".