36089815680 has 448 divisors, whose sum is σ = 130786456320. Its totient is φ = 9517824000.

The previous prime is 36089815667. The next prime is 36089815691. The reversal of 36089815680 is 8651898063.

36089815680 is a `hidden beast` number, since 360 + 89 + 81 + 56 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48055305 + ... + 48056055.

Almost surely, 2^36089815680 is an apocalyptic number.

36089815680 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 36089815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65393228160).

36089815680 is an abundant number, since it is smaller than the sum of its proper divisors (94696640640).

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

36089815680 is an equidigital number, since it uses as much as digits as its factorization.

36089815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 36089815680 in words is "thirty-six billion, eighty-nine million, eight hundred fifteen thousand, six hundred eighty".