25535881506200 has 384 divisors, whose sum is σ = 65992896184320. Its totient is φ = 9129344716800.

The previous prime is 25535881506053. The next prime is 25535881506209. The reversal of 25535881506200 is 260518853552.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25535881506209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8724249137 + ... + 8724252063.

It is an arithmetic number, because the mean of its divisors is an integer number (171856500480).

Almost surely, 2^{25535881506200} is an apocalyptic number.

25535881506200 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 25535881506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32996448092160).

25535881506200 is an abundant number, since it is smaller than the sum of its proper divisors (40457014678120).

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

25535881506200 is a wasteful number, since it uses less digits than its factorization.

25535881506200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 50.

The spelling of 25535881506200 in words is "twenty-five trillion, five hundred thirty-five billion, eight hundred eighty-one million, five hundred six thousand, two hundred".