1059713135600 has 240 divisors, whose sum is σ = 3083140166400. Its totient is φ = 341701079040.

The previous prime is 1059713135599. The next prime is 1059713135603. The reversal of 1059713135600 is 65313179501.

It is a super-4 number, since 4×1059713135600⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059713135603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69440771 + ... + 69456029.

It is an arithmetic number, because the mean of its divisors is an integer number (12846417360).

Almost surely, 2^{1059713135600} is an apocalyptic number.

1059713135600 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 1059713135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541570083200).

1059713135600 is an abundant number, since it is smaller than the sum of its proper divisors (2023427030800).

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

1059713135600 is a wasteful number, since it uses less digits than its factorization.

1059713135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16760 (or 16749 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The spelling of 1059713135600 in words is "one trillion, fifty-nine billion, seven hundred thirteen million, one hundred thirty-five thousand, six hundred".