84804388428032 has 288 divisors, whose sum is σ = 209512593427200. Its totient is φ = 33360907567104.

The previous prime is 84804388427981. The next prime is 84804388428091. The reversal of 84804388428032 is 23082488340848.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284560019 + ... + 3284585837.

Almost surely, 2^{84804388428032} 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 84804388428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104756296713600).

84804388428032 is an abundant number, since it is smaller than the sum of its proper divisors (124708204999168).

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

84804388428032 is a wasteful number, since it uses less digits than its factorization.

84804388428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26641 (or 26627 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 62.

The spelling of 84804388428032 in words is "eighty-four trillion, eight hundred four billion, three hundred eighty-eight million, four hundred twenty-eight thousand, thirty-two".