15935485104 has 420 divisors, whose sum is σ = 58187140368. Its totient is φ = 4136520960.

The previous prime is 15935485103. The next prime is 15935485127. The reversal of 15935485104 is 40158453951.

It is a happy number.

15935485104 is a `hidden beast` number, since 1 + 5 + 93 + 5 + 48 + 510 + 4 = 666.

15935485104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15935485104.

It is not an unprimeable number, because it can be changed into a prime (15935485103) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 9878602 + ... + 9880214.

Almost surely, 2^15935485104 is an apocalyptic number.

15935485104 is a gapful number since it is divisible by the number (14) 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 15935485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093570184).

15935485104 is an abundant number, since it is smaller than the sum of its proper divisors (42251655264).

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

15935485104 is a wasteful number, since it uses less digits than its factorization.

15935485104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 15935485104 in words is "fifteen billion, nine hundred thirty-five million, four hundred eighty-five thousand, one hundred four".