13971578880 has 448 divisors, whose sum is σ = 52593361920. Its totient is φ = 3100114944.

The previous prime is 13971578869. The next prime is 13971578899. The reversal of 13971578880 is 8887517931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×13971578880³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13971578880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31825701 + ... + 31826139.

Almost surely, 2^13971578880 is an apocalyptic number.

13971578880 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 13971578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26296680960).

13971578880 is an abundant number, since it is smaller than the sum of its proper divisors (38621783040).

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

13971578880 is an equidigital number, since it uses as much as digits as its factorization.

13971578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 57.

The spelling of 13971578880 in words is "thirteen billion, nine hundred seventy-one million, five hundred seventy-eight thousand, eight hundred eighty".