21341698560 has 1440 divisors, whose sum is σ = 98127469440. Its totient is φ = 4347592704.

The previous prime is 21341698541. The next prime is 21341698607. The reversal of 21341698560 is 6589614312.

21341698560 is a `hidden beast` number, since 21 + 3 + 4 + 1 + 69 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735920626 + ... + 735920654.

It is an arithmetic number, because the mean of its divisors is an integer number (68144076).

Almost surely, 2^21341698560 is an apocalyptic number.

21341698560 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 21341698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49063734720).

21341698560 is an abundant number, since it is smaller than the sum of its proper divisors (76785770880).

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

21341698560 is an equidigital number, since it uses as much as digits as its factorization.

21341698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21341698560 in words is "twenty-one billion, three hundred forty-one million, six hundred ninety-eight thousand, five hundred sixty".