21412255072320 has 1792 divisors, whose sum is σ = 95057805312000. Its totient is φ = 4424091623424.

The previous prime is 21412255072279. The next prime is 21412255072363. The reversal of 21412255072320 is 2327055221412.

21412255072320 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 2 + 550 + 72 + 32 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 14879954161 + ... + 14879955599.

Almost surely, 2^{21412255072320} is an apocalyptic number.

21412255072320 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 21412255072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528902656000).

21412255072320 is an abundant number, since it is smaller than the sum of its proper divisors (73645550239680).

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

21412255072320 is a wasteful number, since it uses less digits than its factorization.

21412255072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 21412255072320 in words is "twenty-one trillion, four hundred twelve billion, two hundred fifty-five million, seventy-two thousand, three hundred twenty".