84972575330280 has 1152 divisors, whose sum is σ = 321054960320640. Its totient is φ = 20193612595200.

The previous prime is 84972575330273. The next prime is 84972575330281. The reversal of 84972575330280 is 8203357527948.

84972575330280 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 2 + 575 + 3 + 30 + 28 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (84972575330281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12206946000 + ... + 12206952960.

It is an arithmetic number, because the mean of its divisors is an integer number (278693541945).

Almost surely, 2^{84972575330280} 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 84972575330280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160527480160320).

84972575330280 is an abundant number, since it is smaller than the sum of its proper divisors (236082384990360).

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

84972575330280 is a wasteful number, since it uses less digits than its factorization.

84972575330280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 84972575330280 in words is "eighty-four trillion, nine hundred seventy-two billion, five hundred seventy-five million, three hundred thirty thousand, two hundred eighty".