21313502654400 has 1680 divisors, whose sum is σ = 90801267216000. Its totient is φ = 4849387315200.

The previous prime is 21313502654363. The next prime is 21313502654413. The reversal of 21313502654400 is 445620531312.

21313502654400 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 350 + 265 + 4 + 40 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 2952413991 + ... + 2952421209.

Almost surely, 2^{21313502654400} is an apocalyptic number.

21313502654400 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 21313502654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45400633608000).

21313502654400 is an abundant number, since it is smaller than the sum of its proper divisors (69487764561600).

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

21313502654400 is a wasteful number, since it uses less digits than its factorization.

21313502654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 21313502654400 in words is "twenty-one trillion, three hundred thirteen billion, five hundred two million, six hundred fifty-four thousand, four hundred".