21386130520320 has 1440 divisors, whose sum is σ = 80908663207680. Its totient is φ = 5388042240000.

The previous prime is 21386130520297. The next prime is 21386130520333. The reversal of 21386130520320 is 2302503168312.

21386130520320 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 1 + 305 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17806935720 + ... + 17806936920.

It is an arithmetic number, because the mean of its divisors is an integer number (56186571672).

Almost surely, 2^{21386130520320} is an apocalyptic number.

21386130520320 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 21386130520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40454331603840).

21386130520320 is an abundant number, since it is smaller than the sum of its proper divisors (59522532687360).

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

21386130520320 is a wasteful number, since it uses less digits than its factorization.

21386130520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 21386130520320 its reverse (2302503168312), we get a palindrome (23688633688632).

The spelling of 21386130520320 in words is "twenty-one trillion, three hundred eighty-six billion, one hundred thirty million, five hundred twenty thousand, three hundred twenty".