21153304145200 has 120 divisors (see below), whose sum is σ = 51619900043520. Its totient is φ = 8328664377600.

The previous prime is 21153304145179. The next prime is 21153304145209. The reversal of 21153304145200 is 254140335112.

It is not an unprimeable number, because it can be changed into a prime (21153304145209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16977957 + ... + 18181243.

It is an arithmetic number, because the mean of its divisors is an integer number (430165833696).

Almost surely, 2^{21153304145200} is an apocalyptic number.

21153304145200 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 21153304145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809950021760).

21153304145200 is an abundant number, since it is smaller than the sum of its proper divisors (30466595898320).

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

21153304145200 is a wasteful number, since it uses less digits than its factorization.

21153304145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203995 (or 1203984 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 21153304145200 in words is "twenty-one trillion, one hundred fifty-three billion, three hundred four million, one hundred forty-five thousand, two hundred".