25258654080 has 768 divisors, whose sum is σ = 99474186240. Its totient is φ = 5852528640.

The previous prime is 25258654049. The next prime is 25258654081. The reversal of 25258654080 is 8045685252.

It is a happy number.

25258654080 is a `hidden beast` number, since 2 + 5 + 25 + 8 + 6 + 540 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258654081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198886977 + ... + 198887103.

It is an arithmetic number, because the mean of its divisors is an integer number (129523680).

Almost surely, 2^25258654080 is an apocalyptic number.

25258654080 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 25258654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737093120).

25258654080 is an abundant number, since it is smaller than the sum of its proper divisors (74215532160).

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

25258654080 is a wasteful number, since it uses less digits than its factorization.

25258654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 25258654080 in words is "twenty-five billion, two hundred fifty-eight million, six hundred fifty-four thousand, eighty".