21968597553280 has 256 divisors, whose sum is σ = 62639989977600. Its totient is φ = 7203570941952.

The previous prime is 21968597553271. The next prime is 21968597553289. The reversal of 21968597553280 is 8235579586912.

It is an interprime number because it is at equal distance from previous prime (21968597553271) and next prime (21968597553289).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is not an unprimeable number, because it can be changed into a prime (21968597553289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093553476 + ... + 1093573564.

It is an arithmetic number, because the mean of its divisors is an integer number (244687460850).

Almost surely, 2^{21968597553280} is an apocalyptic number.

21968597553280 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 21968597553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31319994988800).

21968597553280 is an abundant number, since it is smaller than the sum of its proper divisors (40671392424320).

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

21968597553280 is a wasteful number, since it uses less digits than its factorization.

21968597553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30751 (or 30739 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 70.

The spelling of 21968597553280 in words is "twenty-one trillion, nine hundred sixty-eight billion, five hundred ninety-seven million, five hundred fifty-three thousand, two hundred eighty".