25540365312 has 1056 divisors, whose sum is σ = 100714758144. Its totient is φ = 6270566400.

The previous prime is 25540365289. The next prime is 25540365317. The reversal of 25540365312 is 21356304552.

25540365312 is a `hidden beast` number, since 2 + 55 + 40 + 36 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (25540365317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593961963 + ... + 593962005.

It is an arithmetic number, because the mean of its divisors is an integer number (95373824).

Almost surely, 2^25540365312 is an apocalyptic number.

25540365312 is a gapful number since it is divisible by the number (22) 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 25540365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50357379072).

25540365312 is an abundant number, since it is smaller than the sum of its proper divisors (75174392832).

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

25540365312 is a wasteful number, since it uses less digits than its factorization.

25540365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 25540365312 its reverse (21356304552), we get a palindrome (46896669864).

The spelling of 25540365312 in words is "twenty-five billion, five hundred forty million, three hundred sixty-five thousand, three hundred twelve".