86261573376 has 360 divisors, whose sum is σ = 281720832624. Its totient is φ = 26035568640.

The previous prime is 86261573339. The next prime is 86261573381. The reversal of 86261573376 is 67337516268.

86261573376 is a `hidden beast` number, since 8 + 6 + 2 + 61 + 573 + 3 + 7 + 6 = 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 39 ways as a sum of consecutive naturals, for example, 72305836 + ... + 72307028.

Almost surely, 2^86261573376 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 86261573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140860416312).

86261573376 is an abundant number, since it is smaller than the sum of its proper divisors (195459259248).

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

86261573376 is a wasteful number, since it uses less digits than its factorization.

86261573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1526 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 86261573376 in words is "eighty-six billion, two hundred sixty-one million, five hundred seventy-three thousand, three hundred seventy-six".