15785849520 has 480 divisors, whose sum is σ = 62915973120. Its totient is φ = 3472035840.

The previous prime is 15785849507. The next prime is 15785849567. The reversal of 15785849520 is 2594858751.

15785849520 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 584 + 9 + 52 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16324077 + ... + 16325043.

It is an arithmetic number, because the mean of its divisors is an integer number (131074944).

Almost surely, 2^15785849520 is an apocalyptic number.

15785849520 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 15785849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457986560).

15785849520 is an abundant number, since it is smaller than the sum of its proper divisors (47130123600).

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

15785849520 is a wasteful number, since it uses less digits than its factorization.

15785849520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 15785849520 in words is "fifteen billion, seven hundred eighty-five million, eight hundred forty-nine thousand, five hundred twenty".