21260368585632 has 384 divisors, whose sum is σ = 63680583794688. Its totient is φ = 6152090803200.

The previous prime is 21260368585553. The next prime is 21260368585633. The reversal of 21260368585632 is 23658586306212.

It is not an unprimeable number, because it can be changed into a prime (21260368585633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2464394503 + ... + 2464403129.

It is an arithmetic number, because the mean of its divisors is an integer number (165834853632).

Almost surely, 2^{21260368585632} is an apocalyptic number.

21260368585632 is a gapful number since it is divisible by the number (22) 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 21260368585632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840291897344).

21260368585632 is an abundant number, since it is smaller than the sum of its proper divisors (42420215209056).

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

21260368585632 is a wasteful number, since it uses less digits than its factorization.

21260368585632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 21260368585632 in words is "twenty-one trillion, two hundred sixty billion, three hundred sixty-eight million, five hundred eighty-five thousand, six hundred thirty-two".