86651281920 has 320 divisors, whose sum is σ = 330355998720. Its totient is φ = 18944606208.

The previous prime is 86651281909. The next prime is 86651281957. The reversal of 86651281920 is 2918215668.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×86651281920³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86651281920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201441 + ... + 1271519.

It is an arithmetic number, because the mean of its divisors is an integer number (1032362496).

Almost surely, 2^86651281920 is an apocalyptic number.

86651281920 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 86651281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165177999360).

86651281920 is an abundant number, since it is smaller than the sum of its proper divisors (243704716800).

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

86651281920 is a wasteful number, since it uses less digits than its factorization.

86651281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70135 (or 70119 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 86651281920 in words is "eighty-six billion, six hundred fifty-one million, two hundred eighty-one thousand, nine hundred twenty".