25619430126096 has 225 divisors, whose sum is σ = 77526831931549. Its totient is φ = 8167177700352.

The previous prime is 25619430126091. The next prime is 25619430126109. The reversal of 25619430126096 is 69062103491652.

The square root of 25619430126096 is 5061564.

It is a perfect power (a square), and thus also a powerful number.

25619430126096 is a `hidden beast` number, since 2 + 5 + 6 + 19 + 4 + 3 + 0 + 12 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14162125827600 + 11457304298496 = 3763260^2 + 3384864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25619430126091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4190971936 + ... + 4190978048.

Almost surely, 2^{25619430126096} is an apocalyptic number.

25619430126096 is the 5061564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25619430126096

25619430126096 is an abundant number, since it is smaller than the sum of its proper divisors (51907401805453).

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

25619430126096 is an frugal number, since it uses more digits than its factorization.

25619430126096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 25619430126096 in words is "twenty-five trillion, six hundred nineteen billion, four hundred thirty million, one hundred twenty-six thousand, ninety-six".