13698580896 has 768 divisors, whose sum is σ = 54948741120. Its totient is φ = 3204956160.

The previous prime is 13698580859. The next prime is 13698580897. The reversal of 13698580896 is 69808589631.

It is a super-2 number, since 2×13698580896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13698580897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40648440 + ... + 40648776.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 2^13698580896 is an apocalyptic number.

13698580896 is a gapful number since it is divisible by the number (16) 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 13698580896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474370560).

13698580896 is an abundant number, since it is smaller than the sum of its proper divisors (41250160224).

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

13698580896 is a wasteful number, since it uses less digits than its factorization.

13698580896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 13698580896 in words is "thirteen billion, six hundred ninety-eight million, five hundred eighty thousand, eight hundred ninety-six".