86507922240 has 448 divisors, whose sum is σ = 313479728640. Its totient is φ = 22730803200.

The previous prime is 86507922217. The next prime is 86507922257. The reversal of 86507922240 is 4222970568.

86507922240 is a `hidden beast` number, since 86 + 507 + 9 + 2 + 22 + 40 = 666.

It is a super-2 number, since 2×86507922240² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49687770 + ... + 49689510.

Almost surely, 2^86507922240 is an apocalyptic number.

86507922240 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 86507922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739864320).

86507922240 is an abundant number, since it is smaller than the sum of its proper divisors (226971806400).

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

86507922240 is an equidigital number, since it uses as much as digits as its factorization.

86507922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 86507922240 in words is "eighty-six billion, five hundred seven million, nine hundred twenty-two thousand, two hundred forty".