872638080500 has 96 divisors (see below), whose sum is σ = 1976651529216. Its totient is φ = 336193200000.

The previous prime is 872638080491. The next prime is 872638080511. The reversal of 872638080500 is 5080836278.

872638080500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×872638080500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3137090 + ... + 3403910.

It is an arithmetic number, because the mean of its divisors is an integer number (20590120096).

Almost surely, 2^872638080500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872638080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988325764608).

872638080500 is an abundant number, since it is smaller than the sum of its proper divisors (1104013448716).

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

872638080500 is a wasteful number, since it uses less digits than its factorization.

872638080500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267082 (or 267070 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 872638080500 in words is "eight hundred seventy-two billion, six hundred thirty-eight million, eighty thousand, five hundred".