36017872560 has 80 divisors (see below), whose sum is σ = 124061568480. Its totient is φ = 9604765440.

The previous prime is 36017872537. The next prime is 36017872601. The reversal of 36017872560 is 6527871063.

36017872560 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 7 + 87 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8335311 + ... + 8339630.

It is an arithmetic number, because the mean of its divisors is an integer number (1550769606).

Almost surely, 2^36017872560 is an apocalyptic number.

36017872560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36017872560 is an abundant number, since it is smaller than the sum of its proper divisors (88043695920).

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

36017872560 is a wasteful number, since it uses less digits than its factorization.

36017872560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16674963 (or 16674951 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 36017872560 in words is "thirty-six billion, seventeen million, eight hundred seventy-two thousand, five hundred sixty".