21153342760144 has 120 divisors (see below), whose sum is σ = 47773222675200. Its totient is φ = 9047239326720.

The previous prime is 21153342760103. The next prime is 21153342760169. The reversal of 21153342760144 is 44106724335112.

It is a self number, because there is not a number n which added to its sum of digits gives 21153342760144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099951009 + ... + 1099970239.

It is an arithmetic number, because the mean of its divisors is an integer number (398110188960).

Almost surely, 2^{21153342760144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21153342760144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886611337600).

21153342760144 is an abundant number, since it is smaller than the sum of its proper divisors (26619879915056).

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

21153342760144 is a wasteful number, since it uses less digits than its factorization.

21153342760144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22041 (or 22028 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 21153342760144 in words is "twenty-one trillion, one hundred fifty-three billion, three hundred forty-two million, seven hundred sixty thousand, one hundred forty-four".