13768697520 has 200 divisors, whose sum is σ = 49114033584. Its totient is φ = 3572356608.

The previous prime is 13768697519. The next prime is 13768697521. The reversal of 13768697520 is 2579686731.

13768697520 is a `hidden beast` number, since 1 + 37 + 6 + 86 + 9 + 7 + 520 = 666.

13768697520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13768697519) and next prime (13768697521).

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 (13768697521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211047 + ... + 268473.

Almost surely, 2^13768697520 is an apocalyptic number.

13768697520 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 13768697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24557016792).

13768697520 is an abundant number, since it is smaller than the sum of its proper divisors (35345336064).

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

13768697520 is a wasteful number, since it uses less digits than its factorization.

13768697520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57489 (or 57474 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13768697520 in words is "thirteen billion, seven hundred sixty-eight million, six hundred ninety-seven thousand, five hundred twenty".