25852041600 has 768 divisors, whose sum is σ = 108878031360. Its totient is φ = 5234688000.

The previous prime is 25852041587. The next prime is 25852041601. The reversal of 25852041600 is 614025852.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25852041601) 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, 30306774 + ... + 30307626.

It is an arithmetic number, because the mean of its divisors is an integer number (141768270).

Almost surely, 2^25852041600 is an apocalyptic number.

25852041600 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 25852041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439015680).

25852041600 is an abundant number, since it is smaller than the sum of its proper divisors (83025989760).

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

25852041600 is a wasteful number, since it uses less digits than its factorization.

25852041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 25852041600 in words is "twenty-five billion, eight hundred fifty-two million, forty-one thousand, six hundred".