21036188160 has 640 divisors, whose sum is σ = 82577214720. Its totient is φ = 5042995200.

The previous prime is 21036188149. The next prime is 21036188209. The reversal of 21036188160 is 6188163012.

21036188160 is a `hidden beast` number, since 21 + 0 + 3 + 618 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36840675 + ... + 36841245.

It is an arithmetic number, because the mean of its divisors is an integer number (129026898).

Almost surely, 2^21036188160 is an apocalyptic number.

21036188160 is a gapful number since it is divisible by the number (20) 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 21036188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288607360).

21036188160 is an abundant number, since it is smaller than the sum of its proper divisors (61541026560).

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

21036188160 is a wasteful number, since it uses less digits than its factorization.

21036188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21036188160 in words is "twenty-one billion, thirty-six million, one hundred eighty-eight thousand, one hundred sixty".