21963308290560 has 2880 divisors, whose sum is σ = 101677217241600. Its totient is φ = 4330202333184.

The previous prime is 21963308290559. The next prime is 21963308290597. The reversal of 21963308290560 is 6509280336912.

21963308290560 is a `hidden beast` number, since 2 + 1 + 96 + 330 + 82 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×21963308290560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21963308290497 and 21963308290506.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22029395982 + ... + 22029396978.

It is an arithmetic number, because the mean of its divisors is an integer number (35304589320).

Almost surely, 2^{21963308290560} is an apocalyptic number.

21963308290560 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 21963308290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50838608620800).

21963308290560 is an abundant number, since it is smaller than the sum of its proper divisors (79713908951040).

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

21963308290560 is a wasteful number, since it uses less digits than its factorization.

21963308290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 21963308290560 in words is "twenty-one trillion, nine hundred sixty-three billion, three hundred eight million, two hundred ninety thousand, five hundred sixty".