21857149660608 has 224 divisors, whose sum is σ = 64595678784000. Its totient is φ = 7247277785088.

The previous prime is 21857149660603. The next prime is 21857149660637. The reversal of 21857149660608 is 80606694175812.

21857149660608 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 7 + 14 + 9 + 6 + 6 + 0 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21857149660603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322823943 + ... + 322891641.

It is an arithmetic number, because the mean of its divisors is an integer number (288373566000).

Almost surely, 2^{21857149660608} 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 21857149660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32297839392000).

21857149660608 is an abundant number, since it is smaller than the sum of its proper divisors (42738529123392).

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

21857149660608 is a wasteful number, since it uses less digits than its factorization.

21857149660608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68704 (or 68688 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 21857149660608 in words is "twenty-one trillion, eight hundred fifty-seven billion, one hundred forty-nine million, six hundred sixty thousand, six hundred eight".