36086780160 has 432 divisors, whose sum is σ = 128551615920. Its totient is φ = 9342812160.

The previous prime is 36086780137. The next prime is 36086780179. The reversal of 36086780160 is 6108768063.

It can be written as a sum of positive squares in 8 ways, for example, as 1258262784 + 34828517376 = 35472^2 + 186624^2 .

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 47 ways as a sum of consecutive naturals, for example, 62541792 + ... + 62542368.

It is an arithmetic number, because the mean of its divisors is an integer number (297573185).

Almost surely, 2^36086780160 is an apocalyptic number.

36086780160 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 36086780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64275807960).

36086780160 is an abundant number, since it is smaller than the sum of its proper divisors (92464835760).

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

36086780160 is a wasteful number, since it uses less digits than its factorization.

36086780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 36086780160 in words is "thirty-six billion, eighty-six million, seven hundred eighty thousand, one hundred sixty".