36516580040 has 64 divisors (see below), whose sum is σ = 87385858560. Its totient is φ = 13685713920.

The previous prime is 36516580031. The next prime is 36516580097. The reversal of 36516580040 is 4008561563.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36516579976 and 36516580003.

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 15 ways as a sum of consecutive naturals, for example, 31235 + ... + 272045.

It is an arithmetic number, because the mean of its divisors is an integer number (1365404040).

Almost surely, 2^36516580040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36516580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43692929280).

36516580040 is an abundant number, since it is smaller than the sum of its proper divisors (50869278520).

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

36516580040 is a wasteful number, since it uses less digits than its factorization.

36516580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241062 (or 241058 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 36516580040 in words is "thirty-six billion, five hundred sixteen million, five hundred eighty thousand, forty".