85167043920 has 160 divisors (see below), whose sum is σ = 335260803840. Its totient is φ = 19466749440.

The previous prime is 85167043909. The next prime is 85167043939. The reversal of 85167043920 is 2934076158.

85167043920 is a `hidden beast` number, since 8 + 516 + 7 + 0 + 43 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2801251 + ... + 2831490.

It is an arithmetic number, because the mean of its divisors is an integer number (2095380024).

It is a 1-persistent number, because it is pandigital, but 2⋅85167043920 = 170334087840 is not.

Almost surely, 2^85167043920 is an apocalyptic number.

85167043920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85167043920 is an abundant number, since it is smaller than the sum of its proper divisors (250093759920).

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

85167043920 is a wasteful number, since it uses less digits than its factorization.

85167043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632770 (or 5632758 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 85167043920 in words is "eighty-five billion, one hundred sixty-seven million, forty-three thousand, nine hundred twenty".