26997465600 has 360 divisors, whose sum is σ = 110422128960. Its totient is φ = 6170664960.

The previous prime is 26997465589. The next prime is 26997465601. The reversal of 26997465600 is 656479962.

26997465600 is a `hidden beast` number, since 2 + 6 + 9 + 9 + 74 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (26997465601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 789661 + ... + 823139.

It is an arithmetic number, because the mean of its divisors is an integer number (306728136).

Almost surely, 2^26997465600 is an apocalyptic number.

26997465600 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 26997465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55211064480).

26997465600 is an abundant number, since it is smaller than the sum of its proper divisors (83424663360).

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

26997465600 is a wasteful number, since it uses less digits than its factorization.

26997465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33520 (or 33496 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 26997465600 in words is "twenty-six billion, nine hundred ninety-seven million, four hundred sixty-five thousand, six hundred".