13745916540 has 48 divisors (see below), whose sum is σ = 42765075360. Its totient is φ = 3665577600.

The previous prime is 13745916533. The next prime is 13745916577. The reversal of 13745916540 is 4561954731.

13745916540 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 591 + 6 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12727161 + ... + 12728240.

It is an arithmetic number, because the mean of its divisors is an integer number (890939070).

Almost surely, 2^13745916540 is an apocalyptic number.

13745916540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13745916540 is an abundant number, since it is smaller than the sum of its proper divisors (29019158820).

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

13745916540 is a wasteful number, since it uses less digits than its factorization.

13745916540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25455419 (or 25455411 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13745916540 in words is "thirteen billion, seven hundred forty-five million, nine hundred sixteen thousand, five hundred forty".