13044900960 has 672 divisors, whose sum is σ = 56916095040. Its totient is φ = 2750091264.

The previous prime is 13044900943. The next prime is 13044900977. The reversal of 13044900960 is 6900944031.

It is an interprime number because it is at equal distance from previous prime (13044900943) and next prime (13044900977).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10613626 + ... + 10614854.

It is an arithmetic number, because the mean of its divisors is an integer number (84696570).

Almost surely, 2^13044900960 is an apocalyptic number.

13044900960 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 13044900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458047520).

13044900960 is an abundant number, since it is smaller than the sum of its proper divisors (43871194080).

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

13044900960 is a wasteful number, since it uses less digits than its factorization.

13044900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13044900960 in words is "thirteen billion, forty-four million, nine hundred thousand, nine hundred sixty".