21352498560 has 512 divisors, whose sum is σ = 78680678400. Its totient is φ = 5468774400.

The previous prime is 21352498549. The next prime is 21352498571. The reversal of 21352498560 is 6589425312.

It is an interprime number because it is at equal distance from previous prime (21352498549) and next prime (21352498571).

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 63 ways as a sum of consecutive naturals, for example, 49541545 + ... + 49541975.

It is an arithmetic number, because the mean of its divisors is an integer number (153673200).

Almost surely, 2^21352498560 is an apocalyptic number.

21352498560 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 21352498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39340339200).

21352498560 is an abundant number, since it is smaller than the sum of its proper divisors (57328179840).

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

21352498560 is a wasteful number, since it uses less digits than its factorization.

21352498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21352498560 in words is "twenty-one billion, three hundred fifty-two million, four hundred ninety-eight thousand, five hundred sixty".