12415735728 has 200 divisors, whose sum is σ = 39285933456. Its totient is φ = 3754252800.

The previous prime is 12415735723. The next prime is 12415735729. The reversal of 12415735728 is 82753751421.

12415735728 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 73 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12415735723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12159858 + ... + 12160878.

Almost surely, 2^12415735728 is an apocalyptic number.

12415735728 is a gapful number since it is divisible by the number (18) 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 12415735728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642966728).

12415735728 is an abundant number, since it is smaller than the sum of its proper divisors (26870197728).

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

12415735728 is a wasteful number, since it uses less digits than its factorization.

12415735728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1890 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 12415735728 in words is "twelve billion, four hundred fifteen million, seven hundred thirty-five thousand, seven hundred twenty-eight".