21366072000 has 896 divisors, whose sum is σ = 96568442880. Its totient is φ = 4503859200.

The previous prime is 21366071963. The next prime is 21366072001. The reversal of 21366072000 is 27066312.

It is a happy number.

21366072000 is a `hidden beast` number, since 2 + 1 + 36 + 607 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21366072001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655457 + ... + 19656543.

It is an arithmetic number, because the mean of its divisors is an integer number (107777280).

Almost surely, 2^21366072000 is an apocalyptic number.

21366072000 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 21366072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48284221440).

21366072000 is an abundant number, since it is smaller than the sum of its proper divisors (75202370880).

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

21366072000 is a wasteful number, since it uses less digits than its factorization.

21366072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 21366072000 in words is "twenty-one billion, three hundred sixty-six million, seventy-two thousand".