21011887893600 has 864 divisors, whose sum is σ = 80072673145920. Its totient is φ = 5168789176320.

The previous prime is 21011887893599. The next prime is 21011887893613. The reversal of 21011887893600 is 639878811012.

21011887893600 is a `hidden beast` number, since 2 + 10 + 1 + 18 + 8 + 7 + 8 + 9 + 3 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364278842 + ... + 5364282758.

It is an arithmetic number, because the mean of its divisors is an integer number (92676705030).

Almost surely, 2^{21011887893600} is an apocalyptic number.

21011887893600 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 21011887893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40036336572960).

21011887893600 is an abundant number, since it is smaller than the sum of its proper divisors (59060785252320).

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

21011887893600 is a wasteful number, since it uses less digits than its factorization.

21011887893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 21011887893600 in words is "twenty-one trillion, eleven billion, eight hundred eighty-seven million, eight hundred ninety-three thousand, six hundred".