21346654560 has 576 divisors, whose sum is σ = 86769833472. Its totient is φ = 4285440000.

The previous prime is 21346654559. The next prime is 21346654661. The reversal of 21346654560 is 6545664312.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35518260 + ... + 35518860.

It is an arithmetic number, because the mean of its divisors is an integer number (150642072).

Almost surely, 2^21346654560 is an apocalyptic number.

21346654560 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 21346654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43384916736).

21346654560 is an abundant number, since it is smaller than the sum of its proper divisors (65423178912).

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

21346654560 is a wasteful number, since it uses less digits than its factorization.

21346654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 21346654560 in words is "twenty-one billion, three hundred forty-six million, six hundred fifty-four thousand, five hundred sixty".