85783116827808 has 192 divisors, whose sum is σ = 256161443811840. Its totient is φ = 27916185600000.

The previous prime is 85783116827783. The next prime is 85783116827887. The reversal of 85783116827808 is 80872861138758.

85783116827808 is a `hidden beast` number, since 8 + 578 + 31 + 16 + 8 + 2 + 7 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13649808 + ... + 18917808.

It is an arithmetic number, because the mean of its divisors is an integer number (1334174186520).

Almost surely, 2^{85783116827808} 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 85783116827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128080721905920).

85783116827808 is an abundant number, since it is smaller than the sum of its proper divisors (170378326984032).

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

85783116827808 is a wasteful number, since it uses less digits than its factorization.

85783116827808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268468 (or 5268454 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 72.

The spelling of 85783116827808 in words is "eighty-five trillion, seven hundred eighty-three billion, one hundred sixteen million, eight hundred twenty-seven thousand, eight hundred eight".