872946396000 has 1152 divisors, whose sum is σ = 3888310293504. Its totient is φ = 187768627200.

The previous prime is 872946395947. The next prime is 872946396019. The reversal of 872946396000 is 693649278.

It is a happy number.

872946396000 is a `hidden beast` number, since 8 + 7 + 29 + 4 + 6 + 3 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115664227 + ... + 115671773.

It is an arithmetic number, because the mean of its divisors is an integer number (3375269352).

Almost surely, 2^872946396000 is an apocalyptic number.

872946396000 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 872946396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944155146752).

872946396000 is an abundant number, since it is smaller than the sum of its proper divisors (3015363897504).

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

872946396000 is a wasteful number, since it uses less digits than its factorization.

872946396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 872946396000 in words is "eight hundred seventy-two billion, nine hundred forty-six million, three hundred ninety-six thousand".