13074738560 has 256 divisors, whose sum is σ = 35072593920. Its totient is φ = 4628275200.

The previous prime is 13074738491. The next prime is 13074738577. The reversal of 13074738560 is 6583747031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42040805 + ... + 42041115.

It is an arithmetic number, because the mean of its divisors is an integer number (137002320).

Almost surely, 2^13074738560 is an apocalyptic number.

13074738560 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 13074738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536296960).

13074738560 is an abundant number, since it is smaller than the sum of its proper divisors (21997855360).

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

13074738560 is a wasteful number, since it uses less digits than its factorization.

13074738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 13074738560 in words is "thirteen billion, seventy-four million, seven hundred thirty-eight thousand, five hundred sixty".