10595537090560 has 384 divisors, whose sum is σ = 27176169384000. Its totient is φ = 3950933704704.

The previous prime is 10595537090539. The next prime is 10595537090563. The reversal of 10595537090560 is 6509073559501.

It is a super-2 number, since 2×10595537090560² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10595537090563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10501027336 + ... + 10501028344.

Almost surely, 2^{10595537090560} is an apocalyptic number.

10595537090560 is a gapful number since it is divisible by the number (10) 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 10595537090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588084692000).

10595537090560 is an abundant number, since it is smaller than the sum of its proper divisors (16580632293440).

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

10595537090560 is a wasteful number, since it uses less digits than its factorization.

10595537090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 6378750, while the sum is 55.

The spelling of 10595537090560 in words is "ten trillion, five hundred ninety-five billion, five hundred thirty-seven million, ninety thousand, five hundred sixty".