84295572480 has 528 divisors, whose sum is σ = 346206981120. Its totient is φ = 19265568768.

The previous prime is 84295572467. The next prime is 84295572499. The reversal of 84295572480 is 8427559248.

84295572480 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 557 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8704281 + ... + 8713959.

It is an arithmetic number, because the mean of its divisors is an integer number (655695040).

Almost surely, 2^84295572480 is an apocalyptic number.

84295572480 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 84295572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173103490560).

84295572480 is an abundant number, since it is smaller than the sum of its proper divisors (261911408640).

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

84295572480 is an equidigital number, since it uses as much as digits as its factorization.

84295572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 84295572480 in words is "eighty-four billion, two hundred ninety-five million, five hundred seventy-two thousand, four hundred eighty".