13387044960 has 576 divisors, whose sum is σ = 50721914880. Its totient is φ = 3326883840.

The previous prime is 13387044949. The next prime is 13387045003. The reversal of 13387044960 is 6944078331.

13387044960 is a `hidden beast` number, since 133 + 8 + 70 + 449 + 6 + 0 = 666.

It is a super-2 number, since 2×13387044960² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34952929 + ... + 34953311.

It is an arithmetic number, because the mean of its divisors is an integer number (88058880).

Almost surely, 2^13387044960 is an apocalyptic number.

13387044960 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 13387044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

13387044960 is an abundant number, since it is smaller than the sum of its proper divisors (37334869920).

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

13387044960 is a wasteful number, since it uses less digits than its factorization.

13387044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13387044960 in words is "thirteen billion, three hundred eighty-seven million, forty-four thousand, nine hundred sixty".