21965066201232 has 1920 divisors, whose sum is σ = 84024022118400. Its totient is φ = 5428452556800.

The previous prime is 21965066201161. The next prime is 21965066201249. The reversal of 21965066201232 is 23210266056912.

21965066201232 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 5 + 0 + 6 + 620 + 12 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70627222357 + ... + 70627222667.

It is an arithmetic number, because the mean of its divisors is an integer number (43762511520).

Almost surely, 2^{21965066201232} is an apocalyptic number.

21965066201232 is a gapful number since it is divisible by the number (22) 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 21965066201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42012011059200).

21965066201232 is an abundant number, since it is smaller than the sum of its proper divisors (62058955917168).

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

21965066201232 is a wasteful number, since it uses less digits than its factorization.

21965066201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 21965066201232 in words is "twenty-one trillion, nine hundred sixty-five billion, sixty-six million, two hundred one thousand, two hundred thirty-two".