872777123064000 has 10752 divisors, whose sum is σ = 4530212300390400. Its totient is φ = 159152947200000.

The previous prime is 872777123063983. The next prime is 872777123064029. The reversal of 872777123064000 is 460321777278.

872777123064000 is a `hidden beast` number, since 8 + 72 + 77 + 71 + 2 + 30 + 6 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 16467492887974 + ... + 16467492888026.

Almost surely, 2^{872777123064000} is an apocalyptic number.

872777123064000 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 872777123064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265106150195200).

872777123064000 is an abundant number, since it is smaller than the sum of its proper divisors (3657435177326400).

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

872777123064000 is a wasteful number, since it uses less digits than its factorization.

872777123064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 872777123064000 in words is "eight hundred seventy-two trillion, seven hundred seventy-seven billion, one hundred twenty-three million, sixty-four thousand".