13935026560 has 512 divisors, whose sum is σ = 43626885120. Its totient is φ = 4136140800.

The previous prime is 13935026549. The next prime is 13935026561. The reversal of 13935026560 is 6562053931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13935026561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135291469 + ... + 135291571.

It is an arithmetic number, because the mean of its divisors is an integer number (85208760).

Almost surely, 2^13935026560 is an apocalyptic number.

13935026560 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 13935026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21813442560).

13935026560 is an abundant number, since it is smaller than the sum of its proper divisors (29691858560).

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

13935026560 is a wasteful number, since it uses less digits than its factorization.

13935026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 13935026560 in words is "thirteen billion, nine hundred thirty-five million, twenty-six thousand, five hundred sixty".