20939657512320 has 384 divisors, whose sum is σ = 76156250077440. Its totient is φ = 5291209347072.

The previous prime is 20939657512201. The next prime is 20939657512321. The reversal of 20939657512320 is 2321575693902.

20939657512320 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 96 + 5 + 7 + 512 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939657512321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13436767 + ... + 14913953.

It is an arithmetic number, because the mean of its divisors is an integer number (198323567910).

Almost surely, 2^{20939657512320} is an apocalyptic number.

20939657512320 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 20939657512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38078125038720).

20939657512320 is an abundant number, since it is smaller than the sum of its proper divisors (55216592565120).

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

20939657512320 is a wasteful number, since it uses less digits than its factorization.

20939657512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477342 (or 1477327 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 20939657512320 in words is "twenty trillion, nine hundred thirty-nine billion, six hundred fifty-seven million, five hundred twelve thousand, three hundred twenty".