25782021120 has 528 divisors, whose sum is σ = 91283754240. Its totient is φ = 6192857088.

The previous prime is 25782021107. The next prime is 25782021121. The reversal of 25782021120 is 2112028752.

It is a super-2 number, since 2×25782021120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25782021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154383277 + ... + 154383443.

Almost surely, 2^25782021120 is an apocalyptic number.

25782021120 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 25782021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45641877120).

25782021120 is an abundant number, since it is smaller than the sum of its proper divisors (65501733120).

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

25782021120 is a wasteful number, since it uses less digits than its factorization.

25782021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

Adding to 25782021120 its reverse (2112028752), we get a palindrome (27894049872).

The spelling of 25782021120 in words is "twenty-five billion, seven hundred eighty-two million, twenty-one thousand, one hundred twenty".