13595480640 has 336 divisors, whose sum is σ = 55424783232. Its totient is φ = 3107414016.

The previous prime is 13595480623. The next prime is 13595480641. The reversal of 13595480640 is 4608459531.

13595480640 is a `hidden beast` number, since 13 + 59 + 548 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×13595480640² (a number of 21 digits) contains 22 as substring.

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 (13595480641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531832 + ... + 556808.

It is an arithmetic number, because the mean of its divisors is an integer number (164954712).

Almost surely, 2^13595480640 is an apocalyptic number.

13595480640 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 13595480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712391616).

13595480640 is an abundant number, since it is smaller than the sum of its proper divisors (41829302592).

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

13595480640 is an equidigital number, since it uses as much as digits as its factorization.

13595480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13595480640 in words is "thirteen billion, five hundred ninety-five million, four hundred eighty thousand, six hundred forty".