84796888176000 has 4096 divisors, whose sum is σ = 422368128000000. Its totient is φ = 16148201472000.

The previous prime is 84796888175981. The next prime is 84796888176047. The reversal of 84796888176000 is 67188869748.

84796888176000 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 6 + 8 + 8 + 8 + 1 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 84796888176000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 67891823376 + ... + 67891824624.

It is an arithmetic number, because the mean of its divisors is an integer number (103117218750).

Almost surely, 2^{84796888176000} is an apocalyptic number.

84796888176000 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 84796888176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211184064000000).

84796888176000 is an abundant number, since it is smaller than the sum of its proper divisors (337571239824000).

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

84796888176000 is a wasteful number, since it uses less digits than its factorization.

84796888176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 84796888176000 in words is "eighty-four trillion, seven hundred ninety-six billion, eight hundred eighty-eight million, one hundred seventy-six thousand".