84375013060800 has 4032 divisors, whose sum is σ = 408935960709120. Its totient is φ = 15962406912000.

The previous prime is 84375013060799. The next prime is 84375013060829. The reversal of 84375013060800 is 806031057348.

84375013060800 is a `hidden beast` number, since 8 + 4 + 3 + 7 + 5 + 0 + 1 + 30 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×84375013060800³ (a number of 43 digits) contains 333 as substring.

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 575 ways as a sum of consecutive naturals, for example, 216902347006 + ... + 216902347394.

Almost surely, 2^{84375013060800} is an apocalyptic number.

84375013060800 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 84375013060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204467980354560).

84375013060800 is an abundant number, since it is smaller than the sum of its proper divisors (324560947648320).

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

84375013060800 is a wasteful number, since it uses less digits than its factorization.

84375013060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 84375013060800 in words is "eighty-four trillion, three hundred seventy-five billion, thirteen million, sixty thousand, eight hundred".