13149667960 has 256 divisors, whose sum is σ = 37013760000. Its totient is φ = 4130611200.

The previous prime is 13149667957. The next prime is 13149667981. The reversal of 13149667960 is 6976694131.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 13149667898 and 13149667907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26351791 + ... + 26352289.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 2^13149667960 is an apocalyptic number.

13149667960 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 13149667960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880000).

13149667960 is an abundant number, since it is smaller than the sum of its proper divisors (23864092040).

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

13149667960 is a wasteful number, since it uses less digits than its factorization.

13149667960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 13149667960 in words is "thirteen billion, one hundred forty-nine million, six hundred sixty-seven thousand, nine hundred sixty".