25347525120 has 240 divisors, whose sum is σ = 89930072232. Its totient is φ = 6594232320.

The previous prime is 25347525109. The next prime is 25347525121. The reversal of 25347525120 is 2152574352.

25347525120 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 7 + 525 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7707435264 + 17640089856 = 87792^2 + 132816^2 .

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

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 (25347525121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931224 + ... + 958056.

Almost surely, 2^25347525120 is an apocalyptic number.

25347525120 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 25347525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44965036116).

25347525120 is an abundant number, since it is smaller than the sum of its proper divisors (64582547112).

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

25347525120 is a wasteful number, since it uses less digits than its factorization.

25347525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26903 (or 26884 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 25347525120 in words is "twenty-five billion, three hundred forty-seven million, five hundred twenty-five thousand, one hundred twenty".