83868504805800 has 576 divisors, whose sum is σ = 330973173236160. Its totient is φ = 18763591680000.

The previous prime is 83868504805753. The next prime is 83868504805843. The reversal of 83868504805800 is 850840586838.

83868504805800 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 8 + 5 + 0 + 48 + 0 + 580 + 0 = 666.

It is a super-3 number, since 3×83868504805800³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 1235743467 + ... + 1235811333.

It is an arithmetic number, because the mean of its divisors is an integer number (574606203535).

Almost surely, 2^{83868504805800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83868504805800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165486586618080).

83868504805800 is an abundant number, since it is smaller than the sum of its proper divisors (247104668430360).

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

83868504805800 is a wasteful number, since it uses less digits than its factorization.

83868504805800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72714 (or 72702 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 83868504805800 in words is "eighty-three trillion, eight hundred sixty-eight billion, five hundred four million, eight hundred five thousand, eight hundred".