25958372844096 has 945 divisors, whose sum is σ = 98496191981187. Its totient is φ = 6735097797120.

The previous prime is 25958372844029. The next prime is 25958372844113. The reversal of 25958372844096 is 69044827385952.

The square root of 25958372844096 is 5094936.

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

25958372844096 is a `hidden beast` number, since 2 + 5 + 9 + 58 + 372 + 84 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28246324725 + ... + 28246325643.

Almost surely, 2^{25958372844096} is an apocalyptic number.

25958372844096 is the 5094936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25958372844096

25958372844096 is an abundant number, since it is smaller than the sum of its proper divisors (72537819137091).

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

25958372844096 is an frugal number, since it uses more digits than its factorization.

25958372844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 25958372844096 in words is "twenty-five trillion, nine hundred fifty-eight billion, three hundred seventy-two million, eight hundred forty-four thousand, ninety-six".