25518725280 has 144 divisors (see below), whose sum is σ = 87125396904. Its totient is φ = 6801653760.

The previous prime is 25518725273. The next prime is 25518725303. The reversal of 25518725280 is 8252781552.

25518725280 is a `hidden beast` number, since 2 + 5 + 51 + 8 + 72 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24972848784 + 545876496 = 158028^2 + 23364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25518725280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687360 + ... + 4692800.

Almost surely, 2^25518725280 is an apocalyptic number.

25518725280 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 25518725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43562698452).

25518725280 is an abundant number, since it is smaller than the sum of its proper divisors (61606671624).

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

25518725280 is a wasteful number, since it uses less digits than its factorization.

25518725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 25518725280 in words is "twenty-five billion, five hundred eighteen million, seven hundred twenty-five thousand, two hundred eighty".