872453846880 has 3072 divisors, whose sum is σ = 4262127206400. Its totient is φ = 161243136000.

The previous prime is 872453846821. The next prime is 872453846903. The reversal of 872453846880 is 88648354278.

872453846880 is a `hidden beast` number, since 8 + 7 + 245 + 384 + 6 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×872453846880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11951422524 + ... + 11951422596.

It is an arithmetic number, because the mean of its divisors is an integer number (1387411200).

Almost surely, 2^872453846880 is an apocalyptic number.

872453846880 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 872453846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131063603200).

872453846880 is an abundant number, since it is smaller than the sum of its proper divisors (3389673359520).

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

872453846880 is a wasteful number, since it uses less digits than its factorization.

872453846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 872453846880 in words is "eight hundred seventy-two billion, four hundred fifty-three million, eight hundred forty-six thousand, eight hundred eighty".