84228759014400 has 11880 divisors, whose sum is σ = 469398743307648. Its totient is φ = 14714929152000.

The previous prime is 84228759014399. The next prime is 84228759014419. The reversal of 84228759014400 is 441095782248.

84228759014400 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 8 + 7 + 590 + 1 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 2717056742385 + ... + 2717056742415.

Almost surely, 2^{84228759014400} is an apocalyptic number.

84228759014400 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 84228759014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234699371653824).

84228759014400 is an abundant number, since it is smaller than the sum of its proper divisors (385169984293248).

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

84228759014400 is a wasteful number, since it uses less digits than its factorization.

84228759014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 84228759014400 in words is "eighty-four trillion, two hundred twenty-eight billion, seven hundred fifty-nine million, fourteen thousand, four hundred".