21786365413120 has 432 divisors, whose sum is σ = 65690021505024. Its totient is φ = 6776559820800.

The previous prime is 21786365413063. The next prime is 21786365413147. The reversal of 21786365413120 is 2131456368712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532302097 + ... + 532343023.

Almost surely, 2^{21786365413120} is an apocalyptic number.

21786365413120 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 21786365413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845010752512).

21786365413120 is an abundant number, since it is smaller than the sum of its proper divisors (43903656091904).

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

21786365413120 is a wasteful number, since it uses less digits than its factorization.

21786365413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41468 (or 41443 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 21786365413120 in words is "twenty-one trillion, seven hundred eighty-six billion, three hundred sixty-five million, four hundred thirteen thousand, one hundred twenty".