25233688620 has 576 divisors, whose sum is σ = 94516531200. Its totient is φ = 5531535360.

The previous prime is 25233688603. The next prime is 25233688633. The reversal of 25233688620 is 2688633252.

25233688620 is a `hidden beast` number, since 2 + 523 + 3 + 68 + 8 + 62 + 0 = 666.

It is a super-2 number, since 2×25233688620² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110190666 + ... + 110190894.

It is an arithmetic number, because the mean of its divisors is an integer number (164091200).

Almost surely, 2^25233688620 is an apocalyptic number.

25233688620 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 25233688620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47258265600).

25233688620 is an abundant number, since it is smaller than the sum of its proper divisors (69282842580).

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

25233688620 is a wasteful number, since it uses less digits than its factorization.

25233688620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25233688620 in words is "twenty-five billion, two hundred thirty-three million, six hundred eighty-eight thousand, six hundred twenty".