25541253540 has 216 divisors, whose sum is σ = 85315983480. Its totient is φ = 6180387840.

The previous prime is 25541253539. The next prime is 25541253559. The reversal of 25541253540 is 4535214552.

25541253540 is a `hidden beast` number, since 2 + 5 + 54 + 12 + 53 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 949995684 + 24591257856 = 30822^2 + 156816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25541253495 and 25541253504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23282272 + ... + 23283368.

It is an arithmetic number, because the mean of its divisors is an integer number (394981405).

Almost surely, 2^25541253540 is an apocalyptic number.

25541253540 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 25541253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42657991740).

25541253540 is an abundant number, since it is smaller than the sum of its proper divisors (59774729940).

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

25541253540 is a wasteful number, since it uses less digits than its factorization.

25541253540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 25541253540 in words is "twenty-five billion, five hundred forty-one million, two hundred fifty-three thousand, five hundred forty".