872950611456 has 1280 divisors, whose sum is σ = 3592055808000. Its totient is φ = 202091397120.

The previous prime is 872950611451. The next prime is 872950611457. The reversal of 872950611456 is 654116059278.

It is a happy number.

872950611456 is a `hidden beast` number, since 8 + 72 + 9 + 506 + 1 + 14 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872950611451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343815435 + ... + 343817973.

It is an arithmetic number, because the mean of its divisors is an integer number (2806293600).

Almost surely, 2^872950611456 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 872950611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796027904000).

872950611456 is an abundant number, since it is smaller than the sum of its proper divisors (2719105196544).

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

872950611456 is a wasteful number, since it uses less digits than its factorization.

872950611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 872950611456 in words is "eight hundred seventy-two billion, nine hundred fifty million, six hundred eleven thousand, four hundred fifty-six".