21367756800 has 1152 divisors, whose sum is σ = 89572392000. Its totient is φ = 4954521600.

The previous prime is 21367756789. The next prime is 21367756847. The reversal of 21367756800 is 865776312.

21367756800 is a `hidden beast` number, since 2 + 13 + 6 + 77 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521164780 + ... + 521164820.

Almost surely, 2^21367756800 is an apocalyptic number.

21367756800 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 21367756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786196000).

21367756800 is an abundant number, since it is smaller than the sum of its proper divisors (68204635200).

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

21367756800 is a wasteful number, since it uses less digits than its factorization.

21367756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21367756800 in words is "twenty-one billion, three hundred sixty-seven million, seven hundred fifty-six thousand, eight hundred".