86401313280 has 560 divisors, whose sum is σ = 315690892704. Its totient is φ = 22663618560.

The previous prime is 86401313261. The next prime is 86401313287. The reversal of 86401313280 is 8231310468.

86401313280 is a `hidden beast` number, since 8 + 64 + 0 + 1 + 313 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86401313287) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 125037735 + ... + 125038425.

Almost surely, 2^86401313280 is an apocalyptic number.

86401313280 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 86401313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157845446352).

86401313280 is an abundant number, since it is smaller than the sum of its proper divisors (229289579424).

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

86401313280 is an frugal number, since it uses more digits than its factorization.

86401313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 86401313280 in words is "eighty-six billion, four hundred one million, three hundred thirteen thousand, two hundred eighty".