25180020 has 72 divisors (see below), whose sum is σ = 77706720. Its totient is φ = 6598080.

The previous prime is 25180019. The next prime is 25180021. The reversal of 25180020 is 2008152.

It is an interprime number because it is at equal distance from previous prime (25180019) and next prime (25180021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25179975 and 25180002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25180021) 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 23 ways as a sum of consecutive naturals, for example, 9435 + ... + 11805.

It is an arithmetic number, because the mean of its divisors is an integer number (1079260).

Almost surely, 2^25180020 is an apocalyptic number.

25180020 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 25180020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38853360).

25180020 is an abundant number, since it is smaller than the sum of its proper divisors (52526700).

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

25180020 is a wasteful number, since it uses less digits than its factorization.

25180020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 25180020 is about 5017.9697089560. The cubic root of 25180020 is about 293.1019381508.

Adding to 25180020 its reverse (2008152), we get a palindrome (27188172).

The spelling of 25180020 in words is "twenty-five million, one hundred eighty thousand, twenty".