84855568896 has 720 divisors, whose sum is σ = 305642937600. Its totient is φ = 23410114560.

The previous prime is 84855568843. The next prime is 84855568937. The reversal of 84855568896 is 69886555848.

84855568896 is a `hidden beast` number, since 8 + 4 + 8 + 55 + 568 + 8 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188987680 + ... + 188988128.

It is an arithmetic number, because the mean of its divisors is an integer number (424504080).

Almost surely, 2^84855568896 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 84855568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152821468800).

84855568896 is an abundant number, since it is smaller than the sum of its proper divisors (220787368704).

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

84855568896 is an equidigital number, since it uses as much as digits as its factorization.

84855568896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 492 counting only the distinct ones).

The product of its digits is 663552000, while the sum is 72.

The spelling of 84855568896 in words is "eighty-four billion, eight hundred fifty-five million, five hundred sixty-eight thousand, eight hundred ninety-six".