25201880000 has 420 divisors, whose sum is σ = 70919498496. Its totient is φ = 8870400000.

The previous prime is 25201879991. The next prime is 25201880017. The reversal of 25201880000 is 8810252.

It is a Cunningham number, because it is equal to 158751²-1.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 198439937 + ... + 198440063.

Almost surely, 2^25201880000 is an apocalyptic number.

25201880000 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 25201880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35459749248).

25201880000 is an abundant number, since it is smaller than the sum of its proper divisors (45717618496).

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

25201880000 is a wasteful number, since it uses less digits than its factorization.

25201880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 25201880000 in words is "twenty-five billion, two hundred one million, eight hundred eighty thousand".