86033972160 has 168 divisors, whose sum is σ = 298051331760. Its totient is φ = 22777233408.

The previous prime is 86033972119. The next prime is 86033972243. The reversal of 86033972160 is 6127933068.

86033972160 is a `hidden beast` number, since 8 + 603 + 39 + 7 + 2 + 1 + 6 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292864 + ... + 507776.

It is an arithmetic number, because the mean of its divisors is an integer number (1774115070).

Almost surely, 2^86033972160 is an apocalyptic number.

86033972160 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 86033972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149025665880).

86033972160 is an abundant number, since it is smaller than the sum of its proper divisors (212017359600).

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

86033972160 is a wasteful number, since it uses less digits than its factorization.

86033972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215075 (or 215062 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 86033972160 in words is "eighty-six billion, thirty-three million, nine hundred seventy-two thousand, one hundred sixty".