13880909952 has 1024 divisors, whose sum is σ = 55931904000. Its totient is φ = 3284582400.

The previous prime is 13880909947. The next prime is 13880909963. The reversal of 13880909952 is 25990908831.

It is a super-2 number, since 2×13880909952² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137434702 + ... + 137434802.

It is an arithmetic number, because the mean of its divisors is an integer number (54621000).

Almost surely, 2^13880909952 is an apocalyptic number.

13880909952 is a gapful number since it is divisible by the number (12) 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 13880909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965952000).

13880909952 is an abundant number, since it is smaller than the sum of its proper divisors (42050994048).

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

13880909952 is a wasteful number, since it uses less digits than its factorization.

13880909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 13880909952 in words is "thirteen billion, eight hundred eighty million, nine hundred nine thousand, nine hundred fifty-two".