84539088075456 has 588 divisors, whose sum is σ = 297544993138440. Its totient is φ = 23744597022720.

The previous prime is 84539088075413. The next prime is 84539088075457. The reversal of 84539088075456 is 65457088093548.

84539088075456 is a `hidden beast` number, since 8 + 4 + 5 + 3 + 90 + 8 + 80 + 7 + 5 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84539088075457) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 134569116 + ... + 135195876.

Almost surely, 2^{84539088075456} 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 84539088075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148772496569220).

84539088075456 is an abundant number, since it is smaller than the sum of its proper divisors (213005905062984).

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

84539088075456 is an equidigital number, since it uses as much as digits as its factorization.

84539088075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626864 (or 626832 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 84539088075456 in words is "eighty-four trillion, five hundred thirty-nine billion, eighty-eight million, seventy-five thousand, four hundred fifty-six".