26852433696 has 288 divisors, whose sum is σ = 88813670400. Its totient is φ = 7609904640.

The previous prime is 26852433689. The next prime is 26852433703. The reversal of 26852433696 is 69633425862.

It is a happy number.

26852433696 is a `hidden beast` number, since 26 + 8 + 524 + 3 + 3 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (26852433689) and next prime (26852433703).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4752345 + ... + 4757991.

It is an arithmetic number, because the mean of its divisors is an integer number (308380800).

Almost surely, 2^26852433696 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 26852433696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44406835200).

26852433696 is an abundant number, since it is smaller than the sum of its proper divisors (61961236704).

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

26852433696 is a wasteful number, since it uses less digits than its factorization.

26852433696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5761 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 26852433696 in words is "twenty-six billion, eight hundred fifty-two million, four hundred thirty-three thousand, six hundred ninety-six".