86487367680 has 1280 divisors, whose sum is σ = 380627280000. Its totient is φ = 18728091648.

The previous prime is 86487367657. The next prime is 86487367691. The reversal of 86487367680 is 8676378468.

86487367680 is a `hidden beast` number, since 8 + 6 + 487 + 3 + 6 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×86487367680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4551966711 + ... + 4551966729.

Almost surely, 2^86487367680 is an apocalyptic number.

86487367680 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 86487367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190313640000).

86487367680 is an abundant number, since it is smaller than the sum of its proper divisors (294139912320).

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

86487367680 is an frugal number, since it uses more digits than its factorization.

86487367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 86487367680 in words is "eighty-six billion, four hundred eighty-seven million, three hundred sixty-seven thousand, six hundred eighty".