25512603120 has 240 divisors, whose sum is σ = 90851997600. Its totient is φ = 6393839616.

The previous prime is 25512603089. The next prime is 25512603301. The reversal of 25512603120 is 2130621552.

It is a happy number.

25512603120 is a `hidden beast` number, since 2 + 5 + 51 + 2 + 603 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12838767 + ... + 12840753.

It is an arithmetic number, because the mean of its divisors is an integer number (378549990).

Almost surely, 2^25512603120 is an apocalyptic number.

25512603120 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 25512603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425998800).

25512603120 is an abundant number, since it is smaller than the sum of its proper divisors (65339394480).

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

25512603120 is a wasteful number, since it uses less digits than its factorization.

25512603120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 25512603120 in words is "twenty-five billion, five hundred twelve million, six hundred three thousand, one hundred twenty".