25182294480 has 960 divisors, whose sum is σ = 111421440000. Its totient is φ = 4956733440.

The previous prime is 25182294427. The next prime is 25182294493. The reversal of 25182294480 is 8449228152.

25182294480 is a `hidden beast` number, since 2 + 5 + 1 + 82 + 2 + 94 + 480 = 666.

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 191 ways as a sum of consecutive naturals, for example, 50465271 + ... + 50465769.

It is an arithmetic number, because the mean of its divisors is an integer number (116064000).

Almost surely, 2^25182294480 is an apocalyptic number.

25182294480 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 25182294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720000).

25182294480 is an abundant number, since it is smaller than the sum of its proper divisors (86239145520).

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

25182294480 is a wasteful number, since it uses less digits than its factorization.

25182294480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25182294480 in words is "twenty-five billion, one hundred eighty-two million, two hundred ninety-four thousand, four hundred eighty".