25485181600 has 72 divisors (see below), whose sum is σ = 62267577120. Its totient is φ = 10185573120.

The previous prime is 25485181577. The next prime is 25485181619. The reversal of 25485181600 is 618158452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994549 + ... + 1019851.

It is an arithmetic number, because the mean of its divisors is an integer number (864827460).

Almost surely, 2^25485181600 is an apocalyptic number.

25485181600 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 25485181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31133788560).

25485181600 is an abundant number, since it is smaller than the sum of its proper divisors (36782395520).

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

25485181600 is a wasteful number, since it uses less digits than its factorization.

25485181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26582 (or 26569 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 25485181600 in words is "twenty-five billion, four hundred eighty-five million, one hundred eighty-one thousand, six hundred".