25066833120 has 576 divisors, whose sum is σ = 102077853696. Its totient is φ = 5480939520.

The previous prime is 25066833083. The next prime is 25066833137. The reversal of 25066833120 is 2133866052.

It is a happy number.

It is a super-2 number, since 2×25066833120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30310147 + ... + 30310973.

It is an arithmetic number, because the mean of its divisors is an integer number (177218496).

Almost surely, 2^25066833120 is an apocalyptic number.

25066833120 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 25066833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038926848).

25066833120 is an abundant number, since it is smaller than the sum of its proper divisors (77011020576).

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

25066833120 is a wasteful number, since it uses less digits than its factorization.

25066833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25066833120 in words is "twenty-five billion, sixty-six million, eight hundred thirty-three thousand, one hundred twenty".