25668697500 has 720 divisors, whose sum is σ = 91698647040. Its totient is φ = 6259680000.

The previous prime is 25668697499. The next prime is 25668697543. The reversal of 25668697500 is 579686652.

It is a happy number.

25668697500 is a `hidden beast` number, since 2 + 56 + 6 + 86 + 9 + 7 + 500 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 546142477 + ... + 546142523.

It is an arithmetic number, because the mean of its divisors is an integer number (127359232).

Almost surely, 2^25668697500 is an apocalyptic number.

25668697500 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 25668697500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849323520).

25668697500 is an abundant number, since it is smaller than the sum of its proper divisors (66029949540).

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

25668697500 is a wasteful number, since it uses less digits than its factorization.

25668697500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 25668697500 in words is "twenty-five billion, six hundred sixty-eight million, six hundred ninety-seven thousand, five hundred".