21480395769360 has 640 divisors, whose sum is σ = 83349133885440. Its totient is φ = 5037500160000.

The previous prime is 21480395769353. The next prime is 21480395769373. The reversal of 21480395769360 is 6396759308412.

21480395769360 is a `hidden beast` number, since 2 + 1 + 480 + 3 + 9 + 5 + 7 + 6 + 93 + 60 = 666.

It is a super-2 number, since 2×21480395769360² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3403640605 + ... + 3403646915.

It is an arithmetic number, because the mean of its divisors is an integer number (130233021696).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21480395769360 = 42960791538720, but 3⋅21480395769360 = 64441187308080 is not.

Almost surely, 2^{21480395769360} is an apocalyptic number.

21480395769360 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 21480395769360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674566942720).

21480395769360 is an abundant number, since it is smaller than the sum of its proper divisors (61868738116080).

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

21480395769360 is a wasteful number, since it uses less digits than its factorization.

21480395769360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 21480395769360 in words is "twenty-one trillion, four hundred eighty billion, three hundred ninety-five million, seven hundred sixty-nine thousand, three hundred sixty".