21474807232560 has 640 divisors, whose sum is σ = 78390022717440. Its totient is φ = 4806849945600.

The previous prime is 21474807232559. The next prime is 21474807232561. The reversal of 21474807232560 is 6523270847412.

It is an interprime number because it is at equal distance from previous prime (21474807232559) and next prime (21474807232561).

It is a super-2 number, since 2×21474807232560² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21474807232561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2268380947 + ... + 2268390413.

It is an arithmetic number, because the mean of its divisors is an integer number (122484410496).

Almost surely, 2^{21474807232560} is an apocalyptic number.

21474807232560 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 21474807232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39195011358720).

21474807232560 is an abundant number, since it is smaller than the sum of its proper divisors (56915215484880).

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

21474807232560 is a wasteful number, since it uses less digits than its factorization.

21474807232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 21474807232560 in words is "twenty-one trillion, four hundred seventy-four billion, eight hundred seven million, two hundred thirty-two thousand, five hundred sixty".