25616481120 has 192 divisors, whose sum is σ = 90155782080. Its totient is φ = 6793320960.

The previous prime is 25616481119. The next prime is 25616481157. The reversal of 25616481120 is 2118461652.

It is a happy number.

25616481120 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 648 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141527430 + ... + 141527610.

It is an arithmetic number, because the mean of its divisors is an integer number (469561365).

Almost surely, 2^25616481120 is an apocalyptic number.

25616481120 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 25616481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077891040).

25616481120 is an abundant number, since it is smaller than the sum of its proper divisors (64539300960).

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

25616481120 is an frugal number, since it uses more digits than its factorization.

25616481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 25616481120 in words is "twenty-five billion, six hundred sixteen million, four hundred eighty-one thousand, one hundred twenty".