10071088216800 has 144 divisors (see below), whose sum is σ = 35303037804720. Its totient is φ = 2479037091840.

The previous prime is 10071088216741. The next prime is 10071088216831. The reversal of 10071088216800 is 861288017001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161364445 + ... + 161426844.

It is an arithmetic number, because the mean of its divisors is an integer number (245159984755).

Almost surely, 2^{10071088216800} is an apocalyptic number.

10071088216800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10071088216800 is an abundant number, since it is smaller than the sum of its proper divisors (25231949587920).

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

10071088216800 is a wasteful number, since it uses less digits than its factorization.

10071088216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322791325 (or 322791312 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

The spelling of 10071088216800 in words is "ten trillion, seventy-one billion, eighty-eight million, two hundred sixteen thousand, eight hundred".