25482885120 has 1728 divisors, whose sum is σ = 122346806400. Its totient is φ = 5016453120.

The previous prime is 25482885089. The next prime is 25482885137. The reversal of 25482885120 is 2158828452.

25482885120 is a `hidden beast` number, since 2 + 54 + 8 + 2 + 88 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1341204471 + ... + 1341204489.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^25482885120 is an apocalyptic number.

25482885120 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 25482885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61173403200).

25482885120 is an abundant number, since it is smaller than the sum of its proper divisors (96863921280).

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

25482885120 is a wasteful number, since it uses less digits than its factorization.

25482885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 25482885120 in words is "twenty-five billion, four hundred eighty-two million, eight hundred eighty-five thousand, one hundred twenty".