36556800000 has 768 divisors, whose sum is σ = 147444312960. Its totient is φ = 7864320000.

The previous prime is 36556799989. The next prime is 36556800041. The reversal of 36556800000 is 865563.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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, 2150399992 + ... + 2150400008.

Almost surely, 2^36556800000 is an apocalyptic number.

36556800000 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 36556800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73722156480).

36556800000 is an abundant number, since it is smaller than the sum of its proper divisors (110887512960).

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

36556800000 is an frugal number, since it uses more digits than its factorization.

36556800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 36556800000 in words is "thirty-six billion, five hundred fifty-six million, eight hundred thousand".