25596848100096 has 1296 divisors, whose sum is σ = 99955685138400. Its totient is φ = 6222408450048.

The previous prime is 25596848100067. The next prime is 25596848100097. The reversal of 25596848100096 is 69000184869552.

25596848100096 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 68 + 481 + 0 + 0 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25596848100097) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1031744140 + ... + 1031768948.

Almost surely, 2^{25596848100096} is an apocalyptic number.

25596848100096 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 25596848100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49977842569200).

25596848100096 is an abundant number, since it is smaller than the sum of its proper divisors (74358837038304).

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

25596848100096 is a wasteful number, since it uses less digits than its factorization.

25596848100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 25596848100096 in words is "twenty-five trillion, five hundred ninety-six billion, eight hundred forty-eight million, one hundred thousand, ninety-six".