21357864000 has 896 divisors, whose sum is σ = 87299596800. Its totient is φ = 5068800000.

The previous prime is 21357863999. The next prime is 21357864013. The reversal of 21357864000 is 46875312.

21357864000 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 7 + 8 + 640 + 0 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211463950 + ... + 211464050.

Almost surely, 2^21357864000 is an apocalyptic number.

21357864000 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 21357864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43649798400).

21357864000 is an abundant number, since it is smaller than the sum of its proper divisors (65941732800).

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

21357864000 is a wasteful number, since it uses less digits than its factorization.

21357864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21357864000 in words is "twenty-one billion, three hundred fifty-seven million, eight hundred sixty-four thousand".