86267488320 has 672 divisors, whose sum is σ = 337057593600. Its totient is φ = 20872028160.

The previous prime is 86267488319. The next prime is 86267488331. The reversal of 86267488320 is 2388476268.

86267488320 is a `hidden beast` number, since 8 + 626 + 7 + 4 + 8 + 8 + 3 + 2 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 61662981 + ... + 61664379.

It is an arithmetic number, because the mean of its divisors is an integer number (501573800).

Almost surely, 2^86267488320 is an apocalyptic number.

86267488320 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 86267488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168528796800).

86267488320 is an abundant number, since it is smaller than the sum of its proper divisors (250790105280).

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

86267488320 is a wasteful number, since it uses less digits than its factorization.

86267488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 86267488320 in words is "eighty-six billion, two hundred sixty-seven million, four hundred eighty-eight thousand, three hundred twenty".