10872374332800 has 192 divisors, whose sum is σ = 36397948574160. Its totient is φ = 2851770163200.

The previous prime is 10872374332783. The next prime is 10872374332871. The reversal of 10872374332800 is 823347327801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10872374332800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8697507 + ... + 9868706.

Almost surely, 2^{10872374332800} is an apocalyptic number.

10872374332800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10872374332800 is an abundant number, since it is smaller than the sum of its proper divisors (25525574241360).

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

10872374332800 is a wasteful number, since it uses less digits than its factorization.

10872374332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18566301 (or 18566284 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 10872374332800 in words is "ten trillion, eight hundred seventy-two billion, three hundred seventy-four million, three hundred thirty-two thousand, eight hundred".