13619487960 has 256 divisors, whose sum is σ = 49005734400. Its totient is φ = 3344592384.

The previous prime is 13619487949. The next prime is 13619487989. The reversal of 13619487960 is 6978491631.

13619487960 is a `hidden beast` number, since 13 + 61 + 9 + 487 + 96 + 0 = 666.

13619487960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13619487897 and 13619487906.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7903659 + ... + 7905381.

It is an arithmetic number, because the mean of its divisors is an integer number (191428650).

Almost surely, 2^13619487960 is an apocalyptic number.

13619487960 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 13619487960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502867200).

13619487960 is an abundant number, since it is smaller than the sum of its proper divisors (35386246440).

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

13619487960 is a wasteful number, since it uses less digits than its factorization.

13619487960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13619487960 in words is "thirteen billion, six hundred nineteen million, four hundred eighty-seven thousand, nine hundred sixty".