25487400960 has 1008 divisors, whose sum is σ = 110132292816. Its totient is φ = 5416943616.

The previous prime is 25487400947. The next prime is 25487401031. The reversal of 25487400960 is 6900478452.

It is a happy number.

25487400960 is a `hidden beast` number, since 2 + 548 + 7 + 40 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 307077079 + ... + 307077161.

It is an arithmetic number, because the mean of its divisors is an integer number (109258227).

Almost surely, 2^25487400960 is an apocalyptic number.

25487400960 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 25487400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55066146408).

25487400960 is an abundant number, since it is smaller than the sum of its proper divisors (84644891856).

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

25487400960 is a wasteful number, since it uses less digits than its factorization.

25487400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25487400960 in words is "twenty-five billion, four hundred eighty-seven million, four hundred thousand, nine hundred sixty".