84977256000 has 1344 divisors, whose sum is σ = 360587275776. Its totient is φ = 17252352000.

The previous prime is 84977255971. The next prime is 84977256037. The reversal of 84977256000 is 65277948.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×84977256000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1164071964 + ... + 1164072036.

It is an arithmetic number, because the mean of its divisors is an integer number (268294104).

Almost surely, 2^84977256000 is an apocalyptic number.

84977256000 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 84977256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180293637888).

84977256000 is an abundant number, since it is smaller than the sum of its proper divisors (275610019776).

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

84977256000 is a wasteful number, since it uses less digits than its factorization.

84977256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 84977256000 in words is "eighty-four billion, nine hundred seventy-seven million, two hundred fifty-six thousand".