25525925280 has 288 divisors, whose sum is σ = 93452486400. Its totient is φ = 6571901952.

The previous prime is 25525925209. The next prime is 25525925287. The reversal of 25525925280 is 8252952552.

25525925280 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 592 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25525925280² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25525925287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1116201 + ... + 1138839.

It is an arithmetic number, because the mean of its divisors is an integer number (324487800).

Almost surely, 2^25525925280 is an apocalyptic number.

25525925280 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 25525925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46726243200).

25525925280 is an abundant number, since it is smaller than the sum of its proper divisors (67926561120).

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

25525925280 is a wasteful number, since it uses less digits than its factorization.

25525925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 25525925280 in words is "twenty-five billion, five hundred twenty-five million, nine hundred twenty-five thousand, two hundred eighty".