20944302515136 has 2688 divisors, whose sum is σ = 89505673850880. Its totient is φ = 4656224010240.

The previous prime is 20944302515113. The next prime is 20944302515177. The reversal of 20944302515136 is 63151520344902.

20944302515136 is a `hidden beast` number, since 2 + 0 + 9 + 443 + 0 + 25 + 151 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20944302515091 and 20944302515100.

It is a congruent number.

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, 23612516485 + ... + 23612517371.

It is an arithmetic number, because the mean of its divisors is an integer number (33298241760).

Almost surely, 2^{20944302515136} is an apocalyptic number.

20944302515136 is a gapful number since it is divisible by the number (26) 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 20944302515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752836925440).

20944302515136 is an abundant number, since it is smaller than the sum of its proper divisors (68561371335744).

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

20944302515136 is a wasteful number, since it uses less digits than its factorization.

20944302515136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 20944302515136 in words is "twenty trillion, nine hundred forty-four billion, three hundred two million, five hundred fifteen thousand, one hundred thirty-six".