13696935840 has 768 divisors, whose sum is σ = 59609088000. Its totient is φ = 2866544640.

The previous prime is 13696935839. The next prime is 13696935841. The reversal of 13696935840 is 4853969631.

It is an interprime number because it is at equal distance from previous prime (13696935839) and next prime (13696935841).

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

It is not an unprimeable number, because it can be changed into a prime (13696935841) 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, 17810976 + ... + 17811744.

It is an arithmetic number, because the mean of its divisors is an integer number (77616000).

Almost surely, 2^13696935840 is an apocalyptic number.

13696935840 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 13696935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804544000).

13696935840 is an abundant number, since it is smaller than the sum of its proper divisors (45912152160).

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

13696935840 is a wasteful number, since it uses less digits than its factorization.

13696935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13696935840 in words is "thirteen billion, six hundred ninety-six million, nine hundred thirty-five thousand, eight hundred forty".