20959178017120 has 576 divisors, whose sum is σ = 63601309900800. Its totient is φ = 6477506703360.

The previous prime is 20959178017103. The next prime is 20959178017157. The reversal of 20959178017120 is 2171087195902.

It is a super-3 number, since 3×20959178017120³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654365266 + ... + 654397294.

It is an arithmetic number, because the mean of its divisors is an integer number (110418940800).

Almost surely, 2^{20959178017120} is an apocalyptic number.

20959178017120 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 20959178017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31800654950400).

20959178017120 is an abundant number, since it is smaller than the sum of its proper divisors (42642131883680).

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

20959178017120 is a wasteful number, since it uses less digits than its factorization.

20959178017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32291 (or 32276 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 52.

The spelling of 20959178017120 in words is "twenty trillion, nine hundred fifty-nine billion, one hundred seventy-eight million, seventeen thousand, one hundred twenty".