25506938880 has 510 divisors, whose sum is σ = 94491443178. Its totient is φ = 6582435840.

The previous prime is 25506938861. The next prime is 25506938881. The reversal of 25506938880 is 8883960552.

25506938880 is a `hidden beast` number, since 2 + 550 + 6 + 9 + 3 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20405551104 + 5101387776 = 142848^2 + 71424^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25506938881) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 822804465 + ... + 822804495.

Almost surely, 2^25506938880 is an apocalyptic number.

25506938880 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 25506938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47245721589).

25506938880 is an abundant number, since it is smaller than the sum of its proper divisors (68984504298).

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

25506938880 is an frugal number, since it uses more digits than its factorization.

25506938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 25506938880 in words is "twenty-five billion, five hundred six million, nine hundred thirty-eight thousand, eight hundred eighty".