13659690240 has 432 divisors, whose sum is σ = 54319120128. Its totient is φ = 3104538624.

The previous prime is 13659690227. The next prime is 13659690259. The reversal of 13659690240 is 4209695631.

13659690240 is a `hidden beast` number, since 1 + 36 + 596 + 9 + 0 + 24 + 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 47 ways as a sum of consecutive naturals, for example, 18788757 + ... + 18789483.

It is an arithmetic number, because the mean of its divisors is an integer number (125738704).

Almost surely, 2^13659690240 is an apocalyptic number.

13659690240 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 13659690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159560064).

13659690240 is an abundant number, since it is smaller than the sum of its proper divisors (40659429888).

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

13659690240 is a wasteful number, since it uses less digits than its factorization.

13659690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13659690240 in words is "thirteen billion, six hundred fifty-nine million, six hundred ninety thousand, two hundred forty".