25575338880 has 768 divisors, whose sum is σ = 110671142400. Its totient is φ = 5298241536.

The previous prime is 25575338863. The next prime is 25575338881. The reversal of 25575338880 is 8883357552.

It is a happy number.

25575338880 is a `hidden beast` number, since 2 + 557 + 5 + 3 + 3 + 8 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25575338881) 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, 30925027 + ... + 30925853.

It is an arithmetic number, because the mean of its divisors is an integer number (144103050).

Almost surely, 2^25575338880 is an apocalyptic number.

25575338880 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 25575338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335571200).

25575338880 is an abundant number, since it is smaller than the sum of its proper divisors (85095803520).

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

25575338880 is a wasteful number, since it uses less digits than its factorization.

25575338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 25575338880 in words is "twenty-five billion, five hundred seventy-five million, three hundred thirty-eight thousand, eight hundred eighty".