13935803967360 has 768 divisors, whose sum is σ = 56808299358720. Its totient is φ = 3231481651200.

The previous prime is 13935803967347. The next prime is 13935803967413. The reversal of 13935803967360 is 6376930853931.

It is a happy number.

13935803967360 is a `hidden beast` number, since 13 + 9 + 3 + 580 + 3 + 9 + 6 + 7 + 36 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39169470 + ... + 39523650.

It is an arithmetic number, because the mean of its divisors is an integer number (73969139790).

Almost surely, 2^{13935803967360} is an apocalyptic number.

13935803967360 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 13935803967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28404149679360).

13935803967360 is an abundant number, since it is smaller than the sum of its proper divisors (42872495391360).

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

13935803967360 is a wasteful number, since it uses less digits than its factorization.

13935803967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354249 (or 354225 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 13935803967360 in words is "thirteen trillion, nine hundred thirty-five billion, eight hundred three million, nine hundred sixty-seven thousand, three hundred sixty".