25603380072 has 96 divisors (see below), whose sum is σ = 72030285600. Its totient is φ = 8520272064.

The previous prime is 25603380053. The next prime is 25603380073. The reversal of 25603380072 is 27008330652.

25603380072 is a `hidden beast` number, since 256 + 0 + 338 + 0 + 0 + 72 = 666.

It is a super-2 number, since 2×25603380072² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25603380073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192698 + ... + 1213974.

It is an arithmetic number, because the mean of its divisors is an integer number (750315475).

Almost surely, 2^25603380072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25603380072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015142800).

25603380072 is an abundant number, since it is smaller than the sum of its proper divisors (46426905528).

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

25603380072 is a wasteful number, since it uses less digits than its factorization.

25603380072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21917 (or 21901 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 25603380072 in words is "twenty-five billion, six hundred three million, three hundred eighty thousand, seventy-two".