26827491600 has 960 divisors, whose sum is σ = 119325140480. Its totient is φ = 5643509760.

The previous prime is 26827491599. The next prime is 26827491661. The reversal of 26827491600 is 619472862.

It is a happy number.

26827491600 is a `hidden beast` number, since 26 + 82 + 7 + 491 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79606632 + ... + 79606968.

Almost surely, 2^26827491600 is an apocalyptic number.

26827491600 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 26827491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59662570240).

26827491600 is an abundant number, since it is smaller than the sum of its proper divisors (92497648880).

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

26827491600 is a wasteful number, since it uses less digits than its factorization.

26827491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26827491600 in words is "twenty-six billion, eight hundred twenty-seven million, four hundred ninety-one thousand, six hundred".