10013534557560 has 256 divisors, whose sum is σ = 34859279232000. Its totient is φ = 2552006730240.

The previous prime is 10013534557553. The next prime is 10013534557679. The reversal of 10013534557560 is 6575543531001.

10013534557560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 5 + 34 + 5 + 57 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29165371 + ... + 29506709.

It is an arithmetic number, because the mean of its divisors is an integer number (136169059500).

Almost surely, 2^{10013534557560} is an apocalyptic number.

10013534557560 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 10013534557560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429639616000).

10013534557560 is an abundant number, since it is smaller than the sum of its proper divisors (24845744674440).

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

10013534557560 is a wasteful number, since it uses less digits than its factorization.

10013534557560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342563 (or 342553 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 10013534557560 in words is "ten trillion, thirteen billion, five hundred thirty-four million, five hundred fifty-seven thousand, five hundred sixty".