13695897600 has 936 divisors, whose sum is σ = 61477321152. Its totient is φ = 2831155200.

The previous prime is 13695897583. The next prime is 13695897613. The reversal of 13695897600 is 679859631.

It is a super-2 number, since 2×13695897600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70963104 + ... + 70963296.

Almost surely, 2^13695897600 is an apocalyptic number.

13695897600 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 13695897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30738660576).

13695897600 is an abundant number, since it is smaller than the sum of its proper divisors (47781423552).

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

13695897600 is a wasteful number, since it uses less digits than its factorization.

13695897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13695897600 in words is "thirteen billion, six hundred ninety-five million, eight hundred ninety-seven thousand, six hundred".