25464061242096 has 320 divisors, whose sum is σ = 72022354560000. Its totient is φ = 7724483813376.

The previous prime is 25464061242091. The next prime is 25464061242101. The reversal of 25464061242096 is 69024216046452.

It is an interprime number because it is at equal distance from previous prime (25464061242091) and next prime (25464061242101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25464061242091) 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, 2129274165 + ... + 2129286123.

It is an arithmetic number, because the mean of its divisors is an integer number (225069858000).

Almost surely, 2^{25464061242096} 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 25464061242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36011177280000).

25464061242096 is an abundant number, since it is smaller than the sum of its proper divisors (46558293317904).

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

25464061242096 is a wasteful number, since it uses less digits than its factorization.

25464061242096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 12818 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 25464061242096 in words is "twenty-five trillion, four hundred sixty-four billion, sixty-one million, two hundred forty-two thousand, ninety-six".