21346861950720 has 864 divisors, whose sum is σ = 78809650762752. Its totient is φ = 5323404607488.

The previous prime is 21346861950691. The next prime is 21346861950737. The reversal of 21346861950720 is 2705916864312.

It is a happy number.

21346861950720 is a `hidden beast` number, since 2 + 1 + 3 + 46 + 86 + 19 + 507 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2133187957 + ... + 2133197963.

It is an arithmetic number, because the mean of its divisors is an integer number (91214873568).

It is a 1-persistent number, because it is pandigital, but 2⋅21346861950720 = 42693723901440 is not.

Almost surely, 2^{21346861950720} is an apocalyptic number.

21346861950720 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 21346861950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39404825381376).

21346861950720 is an abundant number, since it is smaller than the sum of its proper divisors (57462788812032).

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

21346861950720 is a wasteful number, since it uses less digits than its factorization.

21346861950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21346861950720 in words is "twenty-one trillion, three hundred forty-six billion, eight hundred sixty-one million, nine hundred fifty thousand, seven hundred twenty".