25541820894096 has 1280 divisors, whose sum is σ = 84936563712000. Its totient is φ = 7293388677120.

The previous prime is 25541820894053. The next prime is 25541820894097. The reversal of 25541820894096 is 69049802814552.

25541820894096 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 18 + 208 + 9 + 409 + 6 = 666.

It is a super-2 number, since 2×25541820894096² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25541820894097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 129653913070 + ... + 129653913266.

It is an arithmetic number, because the mean of its divisors is an integer number (66356690400).

Almost surely, 2^{25541820894096} is an apocalyptic number.

25541820894096 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 25541820894096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42468281856000).

25541820894096 is an abundant number, since it is smaller than the sum of its proper divisors (59394742817904).

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

25541820894096 is a wasteful number, since it uses less digits than its factorization.

25541820894096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 25541820894096 in words is "twenty-five trillion, five hundred forty-one billion, eight hundred twenty million, eight hundred ninety-four thousand, ninety-six".