25407889920 has 640 divisors, whose sum is σ = 109246579200. Its totient is φ = 5464129536.

The previous prime is 25407889919. The next prime is 25407889933. The reversal of 25407889920 is 2998870452.

25407889920 is a `hidden beast` number, since 2 + 540 + 7 + 8 + 8 + 9 + 92 + 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8223736 + ... + 8226824.

It is an arithmetic number, because the mean of its divisors is an integer number (170697780).

Almost surely, 2^25407889920 is an apocalyptic number.

25407889920 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 25407889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623289600).

25407889920 is an abundant number, since it is smaller than the sum of its proper divisors (83838689280).

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

25407889920 is a wasteful number, since it uses less digits than its factorization.

25407889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25407889920 in words is "twenty-five billion, four hundred seven million, eight hundred eighty-nine thousand, nine hundred twenty".