21349399680 has 384 divisors, whose sum is σ = 89212855680. Its totient is φ = 4592664576.

The previous prime is 21349399657. The next prime is 21349399691. The reversal of 21349399680 is 8699394312.

21349399680 is a `hidden beast` number, since 2 + 1 + 3 + 493 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 669867 + ... + 701013.

It is an arithmetic number, because the mean of its divisors is an integer number (232325145).

Almost surely, 2^21349399680 is an apocalyptic number.

21349399680 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 21349399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606427840).

21349399680 is an abundant number, since it is smaller than the sum of its proper divisors (67863456000).

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

21349399680 is a wasteful number, since it uses less digits than its factorization.

21349399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31196 (or 31181 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 21349399680 in words is "twenty-one billion, three hundred forty-nine million, three hundred ninety-nine thousand, six hundred eighty".