84388805155200 has 1152 divisors, whose sum is σ = 361053448600320. Its totient is φ = 16867936419840.

The previous prime is 84388805155169. The next prime is 84388805155283. The reversal of 84388805155200 is 255150888348.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315235807 + ... + 315503393.

It is an arithmetic number, because the mean of its divisors is an integer number (313414451910).

Almost surely, 2^{84388805155200} is an apocalyptic number.

84388805155200 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 84388805155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180526724300160).

84388805155200 is an abundant number, since it is smaller than the sum of its proper divisors (276664643445120).

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

84388805155200 is a wasteful number, since it uses less digits than its factorization.

84388805155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267672 (or 267636 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 57.

The spelling of 84388805155200 in words is "eighty-four trillion, three hundred eighty-eight billion, eight hundred five million, one hundred fifty-five thousand, two hundred".