25123020000 has 480 divisors, whose sum is σ = 91698647040. Its totient is φ = 5978880000.

The previous prime is 25123019981. The next prime is 25123020001. The reversal of 25123020000 is 2032152.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25123020000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25123020001) 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 79 ways as a sum of consecutive naturals, for example, 24179481 + ... + 24180519.

It is an arithmetic number, because the mean of its divisors is an integer number (191038848).

Almost surely, 2^25123020000 is an apocalyptic number.

25123020000 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 25123020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849323520).

25123020000 is an abundant number, since it is smaller than the sum of its proper divisors (66575627040).

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

25123020000 is a wasteful number, since it uses less digits than its factorization.

25123020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 25123020000 its reverse (2032152), we get a palindrome (25125052152).

The spelling of 25123020000 in words is "twenty-five billion, one hundred twenty-three million, twenty thousand".