86205274560 has 168 divisors, whose sum is σ = 297057720336. Its totient is φ = 22945628160.

The previous prime is 86205274541. The next prime is 86205274577. The reversal of 86205274560 is 6547250268.

86205274560 is a `hidden beast` number, since 8 + 6 + 20 + 527 + 45 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1548000 + ... + 1602720.

Almost surely, 2^86205274560 is an apocalyptic number.

86205274560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86205274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148528860168).

86205274560 is an abundant number, since it is smaller than the sum of its proper divisors (210852445776).

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

86205274560 is a wasteful number, since it uses less digits than its factorization.

86205274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55291 (or 55278 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 86205274560 in words is "eighty-six billion, two hundred five million, two hundred seventy-four thousand, five hundred sixty".