21153525056400 has 240 divisors, whose sum is σ = 75494764597248. Its totient is φ = 5019018048000.

The previous prime is 21153525056387. The next prime is 21153525056459. The reversal of 21153525056400 is 465052535112.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16427896 + ... + 17668695.

Almost surely, 2^{21153525056400} is an apocalyptic number.

21153525056400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21153525056400 is an abundant number, since it is smaller than the sum of its proper divisors (54341239540848).

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

21153525056400 is a wasteful number, since it uses less digits than its factorization.

21153525056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34096670 (or 34096659 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 21153525056400 in words is "twenty-one trillion, one hundred fifty-three billion, five hundred twenty-five million, fifty-six thousand, four hundred".