872939520000 has 690 divisors, whose sum is σ = 3236442021098. Its totient is φ = 226492416000.

The previous prime is 872939519987. The next prime is 872939520049. The reversal of 872939520000 is 25939278.

It can be written as a sum of positive squares in 5 ways, for example, as 164433494016 + 708506025984 = 405504^2 + 841728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23592959982 + ... + 23592960018.

Almost surely, 2^872939520000 is an apocalyptic number.

872939520000 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 872939520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618221010549).

872939520000 is an abundant number, since it is smaller than the sum of its proper divisors (2363502501098).

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

872939520000 is an frugal number, since it uses more digits than its factorization.

872939520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 872939520000 in words is "eight hundred seventy-two billion, nine hundred thirty-nine million, five hundred twenty thousand".