25258673880 has 384 divisors, whose sum is σ = 93829881600. Its totient is φ = 6060096000.

The previous prime is 25258673879. The next prime is 25258673887. The reversal of 25258673880 is 8837685252.

25258673880 is a `hidden beast` number, since 2 + 5 + 258 + 6 + 7 + 388 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258673887) 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, 10797751 + ... + 10800089.

It is an arithmetic number, because the mean of its divisors is an integer number (244348650).

Almost surely, 2^25258673880 is an apocalyptic number.

25258673880 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 25258673880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46914940800).

25258673880 is an abundant number, since it is smaller than the sum of its proper divisors (68571207720).

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

25258673880 is a wasteful number, since it uses less digits than its factorization.

25258673880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 25258673880 in words is "twenty-five billion, two hundred fifty-eight million, six hundred seventy-three thousand, eight hundred eighty".