86576420160 has 448 divisors, whose sum is σ = 313822080000. Its totient is φ = 22456756224.

The previous prime is 86576420137. The next prime is 86576420173. The reversal of 86576420160 is 6102467568.

86576420160 is a `hidden beast` number, since 8 + 65 + 7 + 6 + 420 + 160 = 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 63 ways as a sum of consecutive naturals, for example, 173499591 + ... + 173500089.

Almost surely, 2^86576420160 is an apocalyptic number.

86576420160 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 86576420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040000).

86576420160 is an abundant number, since it is smaller than the sum of its proper divisors (227245659840).

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

86576420160 is a wasteful number, since it uses less digits than its factorization.

86576420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 86576420160 in words is "eighty-six billion, five hundred seventy-six million, four hundred twenty thousand, one hundred sixty".