25083088668 has 384 divisors, whose sum is σ = 78599808000. Its totient is φ = 6827950080.

The previous prime is 25083088627. The next prime is 25083088687. The reversal of 25083088668 is 86688038052.

25083088668 is a `hidden beast` number, since 250 + 8 + 308 + 86 + 6 + 8 = 666.

It is a super-2 number, since 2×25083088668² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66182103 + ... + 66182481.

It is an arithmetic number, because the mean of its divisors is an integer number (204687000).

Almost surely, 2^25083088668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25083088668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904000).

25083088668 is an abundant number, since it is smaller than the sum of its proper divisors (53516719332).

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

25083088668 is a wasteful number, since it uses less digits than its factorization.

25083088668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 25083088668 in words is "twenty-five billion, eighty-three million, eighty-eight thousand, six hundred sixty-eight".