25240505200 has 120 divisors (see below), whose sum is σ = 64317838752. Its totient is φ = 9485967360.

The previous prime is 25240505161. The next prime is 25240505201. The reversal of 25240505200 is 250504252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25240505201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4396732 + ... + 4402468.

Almost surely, 2^25240505200 is an apocalyptic number.

25240505200 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 25240505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32158919376).

25240505200 is an abundant number, since it is smaller than the sum of its proper divisors (39077333552).

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

25240505200 is a wasteful number, since it uses less digits than its factorization.

25240505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 25240505200 in words is "twenty-five billion, two hundred forty million, five hundred five thousand, two hundred".