12495435840 has 280 divisors, whose sum is σ = 44660804760. Its totient is φ = 3316211712.

The previous prime is 12495435781. The next prime is 12495435847. The reversal of 12495435840 is 4853459421.

12495435840 is a `hidden beast` number, since 1 + 24 + 9 + 5 + 43 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 12486721536 = 2952^2 + 111744^2 .

It is a super-2 number, since 2×12495435840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12495435847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6038326 + ... + 6040394.

Almost surely, 2^12495435840 is an apocalyptic number.

12495435840 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 12495435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22330402380).

12495435840 is an abundant number, since it is smaller than the sum of its proper divisors (32165368920).

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

12495435840 is a wasteful number, since it uses less digits than its factorization.

12495435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12495435840 in words is "twelve billion, four hundred ninety-five million, four hundred thirty-five thousand, eight hundred forty".