25558895640096 has 576 divisors, whose sum is σ = 93415800562560. Its totient is φ = 6738820945920.

The previous prime is 25558895640013. The next prime is 25558895640127. The reversal of 25558895640096 is 69004659885552.

25558895640096 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 8 + 89 + 56 + 400 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3418331910 + ... + 3418339386.

It is an arithmetic number, because the mean of its divisors is an integer number (162180209310).

Almost surely, 2^{25558895640096} is an apocalyptic number.

25558895640096 is a gapful number since it is divisible by the number (26) 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 25558895640096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707900281280).

25558895640096 is an abundant number, since it is smaller than the sum of its proper divisors (67856904922464).

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

25558895640096 is a wasteful number, since it uses less digits than its factorization.

25558895640096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 25558895640096 in words is "twenty-five trillion, five hundred fifty-eight billion, eight hundred ninety-five million, six hundred forty thousand, ninety-six".