13750972960 has 96 divisors (see below), whose sum is σ = 33155619840. Its totient is φ = 5387486208.

The previous prime is 13750972931. The next prime is 13750972969. The reversal of 13750972960 is 6927905731.

It is not an unprimeable number, because it can be changed into a prime (13750972969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7317301 + ... + 7319179.

It is an arithmetic number, because the mean of its divisors is an integer number (345371040).

Almost surely, 2^13750972960 is an apocalyptic number.

13750972960 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 13750972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577809920).

13750972960 is an abundant number, since it is smaller than the sum of its proper divisors (19404646880).

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

13750972960 is a wasteful number, since it uses less digits than its factorization.

13750972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 13750972960 in words is "thirteen billion, seven hundred fifty million, nine hundred seventy-two thousand, nine hundred sixty".