84874913856000 has 640 divisors, whose sum is σ = 315275516075520. Its totient is φ = 22508181504000.

The previous prime is 84874913855989. The next prime is 84874913856037. The reversal of 84874913856000 is 65831947848.

84874913856000 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 4 + 9 + 13 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312632317 + ... + 312903683.

It is an arithmetic number, because the mean of its divisors is an integer number (492617993868).

Almost surely, 2^{84874913856000} is an apocalyptic number.

84874913856000 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 84874913856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157637758037760).

84874913856000 is an abundant number, since it is smaller than the sum of its proper divisors (230400602219520).

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

84874913856000 is a wasteful number, since it uses less digits than its factorization.

84874913856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271590 (or 271558 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 84874913856000 in words is "eighty-four trillion, eight hundred seventy-four billion, nine hundred thirteen million, eight hundred fifty-six thousand".