84885332400 has 480 divisors, whose sum is σ = 330590150400. Its totient is φ = 20516198400.

The previous prime is 84885332377. The next prime is 84885332417. The reversal of 84885332400 is 423358848.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48588327 + ... + 48590073.

It is an arithmetic number, because the mean of its divisors is an integer number (688729480).

Almost surely, 2^84885332400 is an apocalyptic number.

84885332400 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 84885332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165295075200).

84885332400 is an abundant number, since it is smaller than the sum of its proper divisors (245704818000).

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

84885332400 is a wasteful number, since it uses less digits than its factorization.

84885332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84885332400 in words is "eighty-four billion, eight hundred eighty-five million, three hundred thirty-two thousand, four hundred".