10956575672880 has 160 divisors (see below), whose sum is σ = 35754517635840. Its totient is φ = 2767862338560.

The previous prime is 10956575672879. The next prime is 10956575672891. The reversal of 10956575672880 is 8827657565901.

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, 187573759 + ... + 187632161.

It is an arithmetic number, because the mean of its divisors is an integer number (223465735224).

Almost surely, 2^{10956575672880} is an apocalyptic number.

10956575672880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10956575672880 is an abundant number, since it is smaller than the sum of its proper divisors (24797941962960).

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

10956575672880 is a wasteful number, since it uses less digits than its factorization.

10956575672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99579 (or 99573 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 69.

The spelling of 10956575672880 in words is "ten trillion, nine hundred fifty-six billion, five hundred seventy-five million, six hundred seventy-two thousand, eight hundred eighty".