21253354114400 has 72 divisors (see below), whose sum is σ = 52007993244144. Its totient is φ = 8481148300800.

The previous prime is 21253354114381. The next prime is 21253354114453. The reversal of 21253354114400 is 441145335212.

It is a super-2 number, since 2×21253354114400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31215092 + ... + 31888691.

It is an arithmetic number, because the mean of its divisors is an integer number (722333239502).

Almost surely, 2^{21253354114400} is an apocalyptic number.

21253354114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21253354114400 is an abundant number, since it is smaller than the sum of its proper divisors (30754639129744).

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

21253354114400 is a wasteful number, since it uses less digits than its factorization.

21253354114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63104224 (or 63104211 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 21253354114400 its reverse (441145335212), we get a palindrome (21694499449612).

The spelling of 21253354114400 in words is "twenty-one trillion, two hundred fifty-three billion, three hundred fifty-four million, one hundred fourteen thousand, four hundred".