85931921196 has 240 divisors, whose sum is σ = 254537458560. Its totient is φ = 25051783680.

The previous prime is 85931921177. The next prime is 85931921261. The reversal of 85931921196 is 69112913958.

85931921196 is a `hidden beast` number, since 8 + 593 + 19 + 21 + 19 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 10263700 + ... + 10272068.

It is an arithmetic number, because the mean of its divisors is an integer number (1060572744).

Almost surely, 2^85931921196 is an apocalyptic number.

85931921196 is a gapful number since it is divisible by the number (86) 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 85931921196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127268729280).

85931921196 is an abundant number, since it is smaller than the sum of its proper divisors (168605537364).

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

85931921196 is a wasteful number, since it uses less digits than its factorization.

85931921196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 8495 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 85931921196 in words is "eighty-five billion, nine hundred thirty-one million, nine hundred twenty-one thousand, one hundred ninety-six".