36331558486560 has 768 divisors, whose sum is σ = 132972376965120. Its totient is φ = 9258477096960.

The previous prime is 36331558486547. The next prime is 36331558486577. The reversal of 36331558486560 is 6568485513363.

36331558486560 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 15 + 58 + 4 + 8 + 6 + 560 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1349247817 + ... + 1349274743.

It is an arithmetic number, because the mean of its divisors is an integer number (173141115840).

Almost surely, 2^{36331558486560} is an apocalyptic number.

36331558486560 is a gapful number since it is divisible by the number (30) 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 36331558486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66486188482560).

36331558486560 is an abundant number, since it is smaller than the sum of its proper divisors (96640818478560).

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

36331558486560 is a wasteful number, since it uses less digits than its factorization.

36331558486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27158 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 36331558486560 in words is "thirty-six trillion, three hundred thirty-one billion, five hundred fifty-eight million, four hundred eighty-six thousand, five hundred sixty".