21053423422400 has 336 divisors, whose sum is σ = 53664648576000. Its totient is φ = 8124907253760.

The previous prime is 21053423422391. The next prime is 21053423422433. The reversal of 21053423422400 is 422432435012.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1631156747 + ... + 1631169653.

It is an arithmetic number, because the mean of its divisors is an integer number (159716216000).

Almost surely, 2^{21053423422400} is an apocalyptic number.

21053423422400 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 21053423422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832324288000).

21053423422400 is an abundant number, since it is smaller than the sum of its proper divisors (32611225153600).

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

21053423422400 is a wasteful number, since it uses less digits than its factorization.

21053423422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 21053423422400 its reverse (422432435012), we get a palindrome (21475855857412).

The spelling of 21053423422400 in words is "twenty-one trillion, fifty-three billion, four hundred twenty-three million, four hundred twenty-two thousand, four hundred".