25647045120 has 640 divisors, whose sum is σ = 97815168000. Its totient is φ = 6350192640.

The previous prime is 25647045107. The next prime is 25647045157. The reversal of 25647045120 is 2154074652.

It is a happy number.

25647045120 is a `hidden beast` number, since 2 + 5 + 647 + 0 + 4 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77483355 + ... + 77483685.

It is an arithmetic number, because the mean of its divisors is an integer number (152836200).

Almost surely, 2^25647045120 is an apocalyptic number.

25647045120 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 25647045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48907584000).

25647045120 is an abundant number, since it is smaller than the sum of its proper divisors (72168122880).

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

25647045120 is a wasteful number, since it uses less digits than its factorization.

25647045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 25647045120 in words is "twenty-five billion, six hundred forty-seven million, forty-five thousand, one hundred twenty".