25745518824480 has 1152 divisors, whose sum is σ = 114049134984960. Its totient is φ = 5375965593600.

The previous prime is 25745518824371. The next prime is 25745518824499. The reversal of 25745518824480 is 8442881554752.

25745518824480 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 5 + 5 + 188 + 2 + 448 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266880255 + ... + 266976705.

It is an arithmetic number, because the mean of its divisors is an integer number (99000985230).

Almost surely, 2^{25745518824480} is an apocalyptic number.

25745518824480 is a gapful number since it is divisible by the number (20) 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 25745518824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024567492480).

25745518824480 is an abundant number, since it is smaller than the sum of its proper divisors (88303616160480).

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

25745518824480 is a wasteful number, since it uses less digits than its factorization.

25745518824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96599 (or 96578 counting only the distinct ones).

The product of its (nonzero) digits is 114688000, while the sum is 63.

The spelling of 25745518824480 in words is "twenty-five trillion, seven hundred forty-five billion, five hundred eighteen million, eight hundred twenty-four thousand, four hundred eighty".