25540265553000 has 256 divisors, whose sum is σ = 87071655939840. Its totient is φ = 6181474176000.

The previous prime is 25540265552927. The next prime is 25540265553013. The reversal of 25540265553000 is 35556204552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19597722 + ... + 20860278.

It is an arithmetic number, because the mean of its divisors is an integer number (340123656015).

Almost surely, 2^{25540265553000} is an apocalyptic number.

25540265553000 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 25540265553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535827969920).

25540265553000 is an abundant number, since it is smaller than the sum of its proper divisors (61531390386840).

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

25540265553000 is a wasteful number, since it uses less digits than its factorization.

25540265553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263205 (or 1263191 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 25540265553000 in words is "twenty-five trillion, five hundred forty billion, two hundred sixty-five million, five hundred fifty-three thousand".