872159736268800 has 1728 divisors, whose sum is σ = 3731379285816000. Its totient is φ = 199096955043840.

The previous prime is 872159736268763. The next prime is 872159736268937. The reversal of 872159736268800 is 8862637951278.

872159736268800 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 597 + 3 + 6 + 26 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56018987416 + ... + 56019002984.

It is an arithmetic number, because the mean of its divisors is an integer number (2159363012625).

Almost surely, 2^{872159736268800} is an apocalyptic number.

872159736268800 is a gapful number since it is divisible by the number (80) 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 872159736268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865689642908000).

872159736268800 is an abundant number, since it is smaller than the sum of its proper divisors (2859219549547200).

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

872159736268800 is a wasteful number, since it uses less digits than its factorization.

872159736268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451 (or 16413 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 872159736268800 in words is "eight hundred seventy-two trillion, one hundred fifty-nine billion, seven hundred thirty-six million, two hundred sixty-eight thousand, eight hundred".