25226461800 has 168 divisors, whose sum is σ = 87937566390. Its totient is φ = 6727017600.

The previous prime is 25226461723. The next prime is 25226461807. The reversal of 25226461800 is 816462252.

It is a happy number.

25226461800 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 646 + 1 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18916701444 + 6309760356 = 137538^2 + 79434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25226461807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 59290 + ... + 232310.

Almost surely, 2^25226461800 is an apocalyptic number.

25226461800 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 25226461800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968783195).

25226461800 is an abundant number, since it is smaller than the sum of its proper divisors (62711104590).

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

25226461800 is a wasteful number, since it uses less digits than its factorization.

25226461800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173055 (or 173031 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25226461800 in words is "twenty-five billion, two hundred twenty-six million, four hundred sixty-one thousand, eight hundred".