20135578560960 has 448 divisors, whose sum is σ = 64717093791360. Its totient is φ = 5303960862720.

The previous prime is 20135578560943. The next prime is 20135578560991. The reversal of 20135578560960 is 6906587553102.

It is a super-2 number, since 2×20135578560960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20135578560960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26459366980 + ... + 26459367740.

Almost surely, 2^{20135578560960} is an apocalyptic number.

20135578560960 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 20135578560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32358546895680).

20135578560960 is an abundant number, since it is smaller than the sum of its proper divisors (44581515230400).

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

20135578560960 is a wasteful number, since it uses less digits than its factorization.

20135578560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 20135578560960 in words is "twenty trillion, one hundred thirty-five billion, five hundred seventy-eight million, five hundred sixty thousand, nine hundred sixty".