21303923918400 has 3024 divisors, whose sum is σ = 89935711781760. Its totient is φ = 4934039961600.

The previous prime is 21303923918357. The next prime is 21303923918477. The reversal of 21303923918400 is 481932930312.

21303923918400 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 9 + 239 + 1 + 8 + 400 = 666.

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 431 ways as a sum of consecutive naturals, for example, 206834212749 + ... + 206834212851.

Almost surely, 2^{21303923918400} is an apocalyptic number.

21303923918400 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 21303923918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44967855890880).

21303923918400 is an abundant number, since it is smaller than the sum of its proper divisors (68631787863360).

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

21303923918400 is a wasteful number, since it uses less digits than its factorization.

21303923918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 21303923918400 in words is "twenty-one trillion, three hundred three billion, nine hundred twenty-three million, nine hundred eighteen thousand, four hundred".