20756135705760 has 4608 divisors, whose sum is σ = 100918016640000. Its totient is φ = 4005763227648.

The previous prime is 20756135705699. The next prime is 20756135705797. The reversal of 20756135705760 is 6750753165702.

20756135705760 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 6 + 1 + 3 + 570 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20756135705697 and 20756135705706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 715728817426 + ... + 715728817454.

It is an arithmetic number, because the mean of its divisors is an integer number (21900611250).

Almost surely, 2^{20756135705760} is an apocalyptic number.

20756135705760 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 20756135705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50459008320000).

20756135705760 is an abundant number, since it is smaller than the sum of its proper divisors (80161880934240).

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

20756135705760 is an equidigital number, since it uses as much as digits as its factorization.

20756135705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 20756135705760 in words is "twenty trillion, seven hundred fifty-six billion, one hundred thirty-five million, seven hundred five thousand, seven hundred sixty".