21362972400 has 600 divisors, whose sum is σ = 95599726464. Its totient is φ = 4438540800.

The previous prime is 21362972383. The next prime is 21362972417. The reversal of 21362972400 is 427926312.

21362972400 is a `hidden beast` number, since 2 + 1 + 3 + 629 + 7 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21362972383) and next prime (21362972417).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2490519 + ... + 2499081.

Almost surely, 2^21362972400 is an apocalyptic number.

21362972400 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 21362972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799863232).

21362972400 is an abundant number, since it is smaller than the sum of its proper divisors (74236754064).

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

21362972400 is a wasteful number, since it uses less digits than its factorization.

21362972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 21362972400 in words is "twenty-one billion, three hundred sixty-two million, nine hundred seventy-two thousand, four hundred".