80084268518400 has 528 divisors, whose sum is σ = 294696988423680. Its totient is φ = 21311863603200.

The previous prime is 80084268518369. The next prime is 80084268518437. The reversal of 80084268518400 is 481586248008.

80084268518400 is a `hidden beast` number, since 8 + 0 + 0 + 84 + 2 + 6 + 8 + 518 + 40 + 0 = 666.

It is a super-2 number, since 2×80084268518400² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 336495445 + ... + 336733355.

Almost surely, 2^{80084268518400} is an apocalyptic number.

80084268518400 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 80084268518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147348494211840).

80084268518400 is an abundant number, since it is smaller than the sum of its proper divisors (214612719905280).

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

80084268518400 is a wasteful number, since it uses less digits than its factorization.

80084268518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238437 (or 238408 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 80084268518400 in words is "eighty trillion, eighty-four billion, two hundred sixty-eight million, five hundred eighteen thousand, four hundred".