36021982003200 has 1020 divisors, whose sum is σ = 135364273596288. Its totient is φ = 9468090777600.

The previous prime is 36021982003159. The next prime is 36021982003243. The reversal of 36021982003200 is 230028912063.

36021982003200 is a `hidden beast` number, since 3 + 60 + 2 + 198 + 200 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9422436489 + ... + 9422440311.

Almost surely, 2^{36021982003200} is an apocalyptic number.

36021982003200 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 36021982003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67682136798144).

36021982003200 is an abundant number, since it is smaller than the sum of its proper divisors (99342291593088).

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

36021982003200 is an frugal number, since it uses more digits than its factorization.

36021982003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 36021982003200 in words is "thirty-six trillion, twenty-one billion, nine hundred eighty-two million, three thousand, two hundred".