21913045862400 has 2160 divisors, whose sum is σ = 103005490507920. Its totient is φ = 4552895692800.

The previous prime is 21913045862387. The next prime is 21913045862443. The reversal of 21913045862400 is 426854031912.

21913045862400 is a `hidden beast` number, since 2 + 1 + 9 + 13 + 0 + 4 + 5 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2235335899 + ... + 2235345701.

It is an arithmetic number, because the mean of its divisors is an integer number (47687727087).

Almost surely, 2^{21913045862400} is an apocalyptic number.

21913045862400 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 21913045862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51502745253960).

21913045862400 is an abundant number, since it is smaller than the sum of its proper divisors (81092444645520).

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

21913045862400 is a wasteful number, since it uses less digits than its factorization.

21913045862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21913045862400 in words is "twenty-one trillion, nine hundred thirteen billion, forty-five million, eight hundred sixty-two thousand, four hundred".