20965359465600 has 1152 divisors, whose sum is σ = 77930807317440. Its totient is φ = 4947554304000.

The previous prime is 20965359465593. The next prime is 20965359465623. The reversal of 20965359465600 is 656495356902.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21028444302 + ... + 21028445298.

Almost surely, 2^{20965359465600} is an apocalyptic number.

20965359465600 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 20965359465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38965403658720).

20965359465600 is an abundant number, since it is smaller than the sum of its proper divisors (56965447851840).

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

20965359465600 is a wasteful number, since it uses less digits than its factorization.

20965359465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 60.

The spelling of 20965359465600 in words is "twenty trillion, nine hundred sixty-five billion, three hundred fifty-nine million, four hundred sixty-five thousand, six hundred".