21697968910752 has 240 divisors, whose sum is σ = 66988094342400. Its totient is φ = 6880710343680.

The previous prime is 21697968910649. The next prime is 21697968910759. The reversal of 21697968910752 is 25701986979612.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (21697968910759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2452324 + ... + 7029212.

It is an arithmetic number, because the mean of its divisors is an integer number (279117059760).

Almost surely, 2^{21697968910752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21697968910752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33494047171200).

21697968910752 is an abundant number, since it is smaller than the sum of its proper divisors (45290125431648).

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

21697968910752 is a wasteful number, since it uses less digits than its factorization.

21697968910752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577001 (or 4576984 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 21697968910752 in words is "twenty-one trillion, six hundred ninety-seven billion, nine hundred sixty-eight million, nine hundred ten thousand, seven hundred fifty-two".