21354617106600 has 192 divisors, whose sum is σ = 66392282288640. Its totient is φ = 5677972300800.

The previous prime is 21354617106583. The next prime is 21354617106643. The reversal of 21354617106600 is 660171645312.

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, 1296017562 + ... + 1296034038.

It is an arithmetic number, because the mean of its divisors is an integer number (345793136920).

Almost surely, 2^{21354617106600} is an apocalyptic number.

21354617106600 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 21354617106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33196141144320).

21354617106600 is an abundant number, since it is smaller than the sum of its proper divisors (45037665182040).

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

21354617106600 is a wasteful number, since it uses less digits than its factorization.

21354617106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22660 (or 22651 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 21354617106600 in words is "twenty-one trillion, three hundred fifty-four billion, six hundred seventeen million, one hundred six thousand, six hundred".