872949841920 has 1152 divisors, whose sum is σ = 3412509160320. Its totient is φ = 206108098560.

The previous prime is 872949841913. The next prime is 872949841957. The reversal of 872949841920 is 29148949278.

872949841920 is a `hidden beast` number, since 87 + 2 + 9 + 498 + 41 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7725219784 + ... + 7725219896.

It is an arithmetic number, because the mean of its divisors is an integer number (2962247535).

Almost surely, 2^872949841920 is an apocalyptic number.

872949841920 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 872949841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706254580160).

872949841920 is an abundant number, since it is smaller than the sum of its proper divisors (2539559318400).

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

872949841920 is a wasteful number, since it uses less digits than its factorization.

872949841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 872949841920 in words is "eight hundred seventy-two billion, nine hundred forty-nine million, eight hundred forty-one thousand, nine hundred twenty".