25061412096 has 576 divisors, whose sum is σ = 89537011200. Its totient is φ = 6762921984.

The previous prime is 25061412049. The next prime is 25061412097. The reversal of 25061412096 is 69021416052.

25061412096 is a `hidden beast` number, since 2 + 506 + 1 + 41 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×25061412096² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 25061412096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25061412097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74366040 + ... + 74366376.

It is an arithmetic number, because the mean of its divisors is an integer number (155446200).

Almost surely, 2^25061412096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25061412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44768505600).

25061412096 is an abundant number, since it is smaller than the sum of its proper divisors (64475599104).

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

25061412096 is a wasteful number, since it uses less digits than its factorization.

25061412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 25061412096 in words is "twenty-five billion, sixty-one million, four hundred twelve thousand, ninety-six".