25200233604 has 288 divisors, whose sum is σ = 80688351744. Its totient is φ = 6453872640.

The previous prime is 25200233603. The next prime is 25200233609. The reversal of 25200233604 is 40633200252.

25200233604 is a `hidden beast` number, since 2 + 5 + 20 + 0 + 2 + 33 + 604 = 666.

It is a super-3 number, since 3×25200233604³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25200233603) 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, 50099617 + ... + 50100119.

It is an arithmetic number, because the mean of its divisors is an integer number (280167888).

Almost surely, 2^25200233604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200233604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40344175872).

25200233604 is an abundant number, since it is smaller than the sum of its proper divisors (55488118140).

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

25200233604 is a wasteful number, since it uses less digits than its factorization.

25200233604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 25200233604 its reverse (40633200252), we get a palindrome (65833433856).

The spelling of 25200233604 in words is "twenty-five billion, two hundred million, two hundred thirty-three thousand, six hundred four".