12598295040 has 640 divisors, whose sum is σ = 48259411200. Its totient is φ = 3105423360.

The previous prime is 12598295027. The next prime is 12598295041. The reversal of 12598295040 is 4059289521.

It is a happy number.

12598295040 is a `hidden beast` number, since 1 + 2 + 598 + 2 + 9 + 50 + 4 + 0 = 666.

12598295040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12598295041) 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 63 ways as a sum of consecutive naturals, for example, 69603750 + ... + 69603930.

It is an arithmetic number, because the mean of its divisors is an integer number (75405330).

Almost surely, 2^12598295040 is an apocalyptic number.

12598295040 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 12598295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129705600).

12598295040 is an abundant number, since it is smaller than the sum of its proper divisors (35661116160).

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

12598295040 is a wasteful number, since it uses less digits than its factorization.

12598295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12598295040 in words is "twelve billion, five hundred ninety-eight million, two hundred ninety-five thousand, forty".