25011220264500 has 192 divisors, whose sum is σ = 73170681502464. Its totient is φ = 6638761561600.

The previous prime is 25011220264487. The next prime is 25011220264519. The reversal of 25011220264500 is 546202211052.

It is a super-2 number, since 2×25011220264500² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363432094 + ... + 363500906.

It is an arithmetic number, because the mean of its divisors is an integer number (381097299492).

Almost surely, 2^{25011220264500} is an apocalyptic number.

25011220264500 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 25011220264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36585340751232).

25011220264500 is an abundant number, since it is smaller than the sum of its proper divisors (48159461237964).

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

25011220264500 is a wasteful number, since it uses less digits than its factorization.

25011220264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69955 (or 69943 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 25011220264500 its reverse (546202211052), we get a palindrome (25557422475552).

The spelling of 25011220264500 in words is "twenty-five trillion, eleven billion, two hundred twenty million, two hundred sixty-four thousand, five hundred".