872166345372000 has 384 divisors, whose sum is σ = 3628211999892480. Its totient is φ = 199352307340800.

The previous prime is 872166345371999. The next prime is 872166345372013. The reversal of 872166345372000 is 273543661278.

It is a happy number.

872166345372000 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 66 + 345 + 37 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576073594 + ... + 577585593.

It is an arithmetic number, because the mean of its divisors is an integer number (9448468749720).

Almost surely, 2^{872166345372000} is an apocalyptic number.

872166345372000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872166345372000 is an abundant number, since it is smaller than the sum of its proper divisors (2756045654520480).

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

872166345372000 is a wasteful number, since it uses less digits than its factorization.

872166345372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153659228 (or 1153659204 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 872166345372000 in words is "eight hundred seventy-two trillion, one hundred sixty-six billion, three hundred forty-five million, three hundred seventy-two thousand".