84802240225920 has 1024 divisors, whose sum is σ = 322618982400000. Its totient is φ = 18539348705280.

The previous prime is 84802240225891. The next prime is 84802240225961. The reversal of 84802240225920 is 2952204220848.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84802240225920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25705436431 + ... + 25705439729.

It is an arithmetic number, because the mean of its divisors is an integer number (315057600000).

Almost surely, 2^{84802240225920} is an apocalyptic number.

84802240225920 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 84802240225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161309491200000).

84802240225920 is an abundant number, since it is smaller than the sum of its proper divisors (237816742174080).

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

84802240225920 is a wasteful number, since it uses less digits than its factorization.

84802240225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 84802240225920 in words is "eighty-four trillion, eight hundred two billion, two hundred forty million, two hundred twenty-five thousand, nine hundred twenty".