25201255140 has 288 divisors, whose sum is σ = 81638202240. Its totient is φ = 6450852096.

The previous prime is 25201255139. The next prime is 25201255237. The reversal of 25201255140 is 4155210252.

25201255140 is a `hidden beast` number, since 2 + 5 + 20 + 125 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244672329 + ... + 244672431.

It is an arithmetic number, because the mean of its divisors is an integer number (283465980).

Almost surely, 2^25201255140 is an apocalyptic number.

25201255140 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 25201255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40819101120).

25201255140 is an abundant number, since it is smaller than the sum of its proper divisors (56436947100).

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

25201255140 is a wasteful number, since it uses less digits than its factorization.

25201255140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 25201255140 its reverse (4155210252), we get a palindrome (29356465392).

The spelling of 25201255140 in words is "twenty-five billion, two hundred one million, two hundred fifty-five thousand, one hundred forty".