80825686905600 has 2916 divisors, whose sum is σ = 366034045759200. Its totient is φ = 16958026874880.

The previous prime is 80825686905571. The next prime is 80825686905611. The reversal of 80825686905600 is 650968652808.

80825686905600 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 5 + 6 + 8 + 69 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×80825686905600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 113999558046 + ... + 113999558754.

Almost surely, 2^{80825686905600} is an apocalyptic number.

80825686905600 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 80825686905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183017022879600).

80825686905600 is an abundant number, since it is smaller than the sum of its proper divisors (285208358853600).

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

80825686905600 is a wasteful number, since it uses less digits than its factorization.

80825686905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 80825686905600 in words is "eighty trillion, eight hundred twenty-five billion, six hundred eighty-six million, nine hundred five thousand, six hundred".