86536492560 has 1600 divisors, whose sum is σ = 387175219200. Its totient is φ = 17468006400.

The previous prime is 86536492489. The next prime is 86536492571. The reversal of 86536492560 is 6529463568.

86536492560 is a `hidden beast` number, since 8 + 6 + 5 + 36 + 49 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86536492497 and 86536492506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1095398601 + ... + 1095398679.

It is an arithmetic number, because the mean of its divisors is an integer number (241984512).

Almost surely, 2^86536492560 is an apocalyptic number.

86536492560 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 86536492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193587609600).

86536492560 is an abundant number, since it is smaller than the sum of its proper divisors (300638726640).

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

86536492560 is a wasteful number, since it uses less digits than its factorization.

86536492560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 86536492560 in words is "eighty-six billion, five hundred thirty-six million, four hundred ninety-two thousand, five hundred sixty".