84725460086400 has 672 divisors, whose sum is σ = 358633203967200. Its totient is φ = 19365815715840.

The previous prime is 84725460086383. The next prime is 84725460086471. The reversal of 84725460086400 is 468006452748.

It is a happy number.

84725460086400 is a `hidden beast` number, since 8 + 4 + 7 + 25 + 4 + 600 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13735371 + ... + 18923829.

Almost surely, 2^{84725460086400} is an apocalyptic number.

84725460086400 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 84725460086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179316601983600).

84725460086400 is an abundant number, since it is smaller than the sum of its proper divisors (273907743880800).

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

84725460086400 is an equidigital number, since it uses as much as digits as its factorization.

84725460086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188508 (or 5188476 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 84725460086400 in words is "eighty-four trillion, seven hundred twenty-five billion, four hundred sixty million, eighty-six thousand, four hundred".