13698938880 has 288 divisors, whose sum is σ = 51798080880. Its totient is φ = 3320709120.

The previous prime is 13698938879. The next prime is 13698938893. The reversal of 13698938880 is 8883989631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007004 + ... + 1020516.

Almost surely, 2^13698938880 is an apocalyptic number.

13698938880 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 13698938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899040440).

13698938880 is an abundant number, since it is smaller than the sum of its proper divisors (38099142000).

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

13698938880 is a wasteful number, since it uses less digits than its factorization.

13698938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 13698938880 in words is "thirteen billion, six hundred ninety-eight million, nine hundred thirty-eight thousand, eight hundred eighty".