84227575084992 has 168 divisors, whose sum is σ = 241725490446960. Its totient is φ = 28040711946240.

The previous prime is 84227575084987. The next prime is 84227575084993. The reversal of 84227575084992 is 29948057572248.

84227575084992 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 7 + 575 + 0 + 8 + 49 + 9 + 2 = 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 84227575084992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84227575084993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425822192 + ... + 2425856912.

Almost surely, 2^{84227575084992} 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 84227575084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120862745223480).

84227575084992 is an abundant number, since it is smaller than the sum of its proper divisors (157497915361968).

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

84227575084992 is a wasteful number, since it uses less digits than its factorization.

84227575084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39891 (or 39878 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 84227575084992 in words is "eighty-four trillion, two hundred twenty-seven billion, five hundred seventy-five million, eighty-four thousand, nine hundred ninety-two".