86064491520 has 1408 divisors, whose sum is σ = 382333747200. Its totient is φ = 17915904000.

The previous prime is 86064491509. The next prime is 86064491563. The reversal of 86064491520 is 2519446068.

86064491520 is a `hidden beast` number, since 8 + 60 + 64 + 4 + 9 + 1 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569963445 + ... + 569963595.

Almost surely, 2^86064491520 is an apocalyptic number.

86064491520 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 86064491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191166873600).

86064491520 is an abundant number, since it is smaller than the sum of its proper divisors (296269255680).

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

86064491520 is a wasteful number, since it uses less digits than its factorization.

86064491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86064491520 in words is "eighty-six billion, sixty-four million, four hundred ninety-one thousand, five hundred twenty".