86246095572 has 864 divisors, whose sum is σ = 305743855872. Its totient is φ = 20679432192.

The previous prime is 86246095561. The next prime is 86246095657. The reversal of 86246095572 is 27559064268.

86246095572 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 60 + 9 + 5 + 572 = 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 287 ways as a sum of consecutive naturals, for example, 1181453328 + ... + 1181453400.

Almost surely, 2^86246095572 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 86246095572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152871927936).

86246095572 is an abundant number, since it is smaller than the sum of its proper divisors (219497760300).

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

86246095572 is a wasteful number, since it uses less digits than its factorization.

86246095572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 86246095572 in words is "eighty-six billion, two hundred forty-six million, ninety-five thousand, five hundred seventy-two".