2596128012504 has 192 divisors, whose sum is σ = 7816808253600. Its totient is φ = 797996219904.

The previous prime is 2596128012479. The next prime is 2596128012509. The reversal of 2596128012504 is 4052108216952.

2596128012504 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 128 + 0 + 12 + 504 = 666.

2596128012504 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 2596128012504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596128012509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36358822 + ... + 36430154.

Almost surely, 2^{2596128012504} is an apocalyptic number.

2596128012504 is a gapful number since it is divisible by the number (24) 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 2596128012504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908404126800).

2596128012504 is an abundant number, since it is smaller than the sum of its proper divisors (5220680241096).

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

2596128012504 is a wasteful number, since it uses less digits than its factorization.

2596128012504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72371 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2596128012504 in words is "two trillion, five hundred ninety-six billion, one hundred twenty-eight million, twelve thousand, five hundred four".