86407573824 has 448 divisors, whose sum is σ = 301861728000. Its totient is φ = 23892295680.

The previous prime is 86407573789. The next prime is 86407573849. The reversal of 86407573824 is 42837570468.

86407573824 is a `hidden beast` number, since 8 + 6 + 40 + 7 + 573 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21990292 + ... + 21994220.

It is an arithmetic number, because the mean of its divisors is an integer number (673798500).

Almost surely, 2^86407573824 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 86407573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150930864000).

86407573824 is an abundant number, since it is smaller than the sum of its proper divisors (215454154176).

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

86407573824 is a wasteful number, since it uses less digits than its factorization.

86407573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 86407573824 in words is "eighty-six billion, four hundred seven million, five hundred seventy-three thousand, eight hundred twenty-four".