21413777371360 has 192 divisors, whose sum is σ = 57063608227584. Its totient is φ = 7525903667200.

The previous prime is 21413777371249. The next prime is 21413777371387. The reversal of 21413777371360 is 6317377731412.

It is a super-2 number, since 2×21413777371360² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21413777371298 and 21413777371307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6334419 + ... + 9107821.

It is an arithmetic number, because the mean of its divisors is an integer number (297206292852).

Almost surely, 2^{21413777371360} is an apocalyptic number.

21413777371360 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 21413777371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531804113792).

21413777371360 is an abundant number, since it is smaller than the sum of its proper divisors (35649830856224).

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

21413777371360 is a wasteful number, since it uses less digits than its factorization.

21413777371360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773577 (or 2773569 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The spelling of 21413777371360 in words is "twenty-one trillion, four hundred thirteen billion, seven hundred seventy-seven million, three hundred seventy-one thousand, three hundred sixty".