21961980593280 has 3072 divisors, whose sum is σ = 101029600788480. Its totient is φ = 4434544558080.

The previous prime is 21961980593269. The next prime is 21961980593363. The reversal of 21961980593280 is 8239508916912.

21961980593280 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 19 + 8 + 0 + 593 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49575576739 + ... + 49575577181.

It is an arithmetic number, because the mean of its divisors is an integer number (32887239840).

Almost surely, 2^{21961980593280} is an apocalyptic number.

21961980593280 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 21961980593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50514800394240).

21961980593280 is an abundant number, since it is smaller than the sum of its proper divisors (79067620195200).

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

21961980593280 is a wasteful number, since it uses less digits than its factorization.

21961980593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 21961980593280 in words is "twenty-one trillion, nine hundred sixty-one billion, nine hundred eighty million, five hundred ninety-three thousand, two hundred eighty".