86419374750720 has 2464 divisors, whose sum is σ = 353581225583040. Its totient is φ = 20065812480000.

The previous prime is 86419374750703. The next prime is 86419374750791. The reversal of 86419374750720 is 2705747391468.

86419374750720 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 93 + 7 + 475 + 0 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 215509662520 + ... + 215509662920.

It is a 1-persistent number, because it is pandigital, but 2⋅86419374750720 = 172838749501440 is not.

Almost surely, 2^{86419374750720} is an apocalyptic number.

86419374750720 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 86419374750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176790612791520).

86419374750720 is an abundant number, since it is smaller than the sum of its proper divisors (267161850832320).

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

86419374750720 is a wasteful number, since it uses less digits than its factorization.

86419374750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 86419374750720 in words is "eighty-six trillion, four hundred nineteen billion, three hundred seventy-four million, seven hundred fifty thousand, seven hundred twenty".