86457393792 has 864 divisors, whose sum is σ = 329561706240. Its totient is φ = 22338892800.

The previous prime is 86457393787. The next prime is 86457393811. The reversal of 86457393792 is 29739375468.

86457393792 is a `hidden beast` number, since 8 + 6 + 457 + 3 + 93 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 452656417 + ... + 452656607.

It is an arithmetic number, because the mean of its divisors is an integer number (381437160).

Almost surely, 2^86457393792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86457393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164780853120).

86457393792 is an abundant number, since it is smaller than the sum of its proper divisors (243104312448).

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

86457393792 is an equidigital number, since it uses as much as digits as its factorization.

86457393792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 214 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

It can be divided in two parts, 86457 and 393792, that added together give a square (480249 = 693²).

The spelling of 86457393792 in words is "eighty-six billion, four hundred fifty-seven million, three hundred ninety-three thousand, seven hundred ninety-two".