21549910613328 has 180 divisors, whose sum is σ = 64132512444000. Its totient is φ = 6753752183808.

The previous prime is 21549910613221. The next prime is 21549910613347. The reversal of 21549910613328 is 82331601994512.

21549910613328 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 9 + 9 + 10 + 613 + 3 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39974923 + ... + 40510421.

It is an arithmetic number, because the mean of its divisors is an integer number (356291735800).

Almost surely, 2^{21549910613328} 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 21549910613328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32066256222000).

21549910613328 is an abundant number, since it is smaller than the sum of its proper divisors (42582601830672).

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

21549910613328 is a wasteful number, since it uses less digits than its factorization.

21549910613328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536514 (or 536488 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21549910613328 in words is "twenty-one trillion, five hundred forty-nine billion, nine hundred ten million, six hundred thirteen thousand, three hundred twenty-eight".