13595855040 has 168 divisors, whose sum is σ = 46818608928. Its totient is φ = 3621335040.

The previous prime is 13595855029. The next prime is 13595855041. The reversal of 13595855040 is 4055859531.

13595855040 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 58 + 550 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13595855041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3059220 + ... + 3063660.

It is an arithmetic number, because the mean of its divisors is an integer number (278682196).

Almost surely, 2^13595855040 is an apocalyptic number.

13595855040 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 13595855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409304464).

13595855040 is an abundant number, since it is smaller than the sum of its proper divisors (33222753888).

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

13595855040 is a wasteful number, since it uses less digits than its factorization.

13595855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 13595855040 in words is "thirteen billion, five hundred ninety-five million, eight hundred fifty-five thousand, forty".