86231962080 has 576 divisors, whose sum is σ = 339995335680. Its totient is φ = 19682611200.

The previous prime is 86231962073. The next prime is 86231962093. The reversal of 86231962080 is 8026913268.

86231962080 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 19 + 620 + 8 + 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 95 ways as a sum of consecutive naturals, for example, 54472969 + ... + 54474551.

It is an arithmetic number, because the mean of its divisors is an integer number (590269680).

Almost surely, 2^86231962080 is an apocalyptic number.

86231962080 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 86231962080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169997667840).

86231962080 is an abundant number, since it is smaller than the sum of its proper divisors (253763373600).

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

86231962080 is a wasteful number, since it uses less digits than its factorization.

86231962080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86231962080 in words is "eighty-six billion, two hundred thirty-one million, nine hundred sixty-two thousand, eighty".