86546052864 has 216 divisors, whose sum is σ = 254128230720. Its totient is φ = 28321284096.

The previous prime is 86546052851. The next prime is 86546052877. The reversal of 86546052864 is 46825064568.

86546052864 is a `hidden beast` number, since 8 + 6 + 5 + 4 + 605 + 28 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86546052851) and next prime (86546052877).

It is a self number, because there is not a number n which added to its sum of digits gives 86546052864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40196812 + ... + 40198964.

Almost surely, 2^86546052864 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 86546052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127064115360).

86546052864 is an abundant number, since it is smaller than the sum of its proper divisors (167582177856).

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

86546052864 is a wasteful number, since it uses less digits than its factorization.

86546052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 86546052864 in words is "eighty-six billion, five hundred forty-six million, fifty-two thousand, eight hundred sixty-four".