13875147720 has 960 divisors, whose sum is σ = 59128256880. Its totient is φ = 2898395136.

The previous prime is 13875147691. The next prime is 13875147731. The reversal of 13875147720 is 2774157831.

It can be written as a sum of positive squares in 8 ways, for example, as 9194124996 + 4681022724 = 95886^2 + 68418^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143042712 + ... + 143042808.

Almost surely, 2^13875147720 is an apocalyptic number.

13875147720 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 13875147720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29564128440).

13875147720 is an abundant number, since it is smaller than the sum of its proper divisors (45253109160).

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

13875147720 is a wasteful number, since it uses less digits than its factorization.

13875147720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 13875147720 in words is "thirteen billion, eight hundred seventy-five million, one hundred forty-seven thousand, seven hundred twenty".