21604214354400 has 288 divisors, whose sum is σ = 79797697620480. Its totient is φ = 5638546460160.

The previous prime is 21604214354369. The next prime is 21604214354419. The reversal of 21604214354400 is 445341240612.

21604214354400 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 4 + 214 + 35 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 9625174 + ... + 11655573.

It is an arithmetic number, because the mean of its divisors is an integer number (277075338960).

Almost surely, 2^{21604214354400} is an apocalyptic number.

21604214354400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21604214354400 is an abundant number, since it is smaller than the sum of its proper divisors (58193483266080).

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

21604214354400 is a wasteful number, since it uses less digits than its factorization.

21604214354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21280823 (or 21280804 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 21604214354400 in words is "twenty-one trillion, six hundred four billion, two hundred fourteen million, three hundred fifty-four thousand, four hundred".