13078745760 has 192 divisors, whose sum is σ = 45252587520. Its totient is φ = 3160396800.

The previous prime is 13078745731. The next prime is 13078745767. The reversal of 13078745760 is 6754787031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13078745767) 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, 178585 + ... + 240935.

It is an arithmetic number, because the mean of its divisors is an integer number (235690560).

Almost surely, 2^13078745760 is an apocalyptic number.

13078745760 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 13078745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22626293760).

13078745760 is an abundant number, since it is smaller than the sum of its proper divisors (32173841760).

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

13078745760 is a wasteful number, since it uses less digits than its factorization.

13078745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62411 (or 62403 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 13078745760 in words is "thirteen billion, seventy-eight million, seven hundred forty-five thousand, seven hundred sixty".