26796873600 has 768 divisors, whose sum is σ = 113670105600. Its totient is φ = 6113802240.

The previous prime is 26796873581. The next prime is 26796873629. The reversal of 26796873600 is 637869762.

26796873600 is a `hidden beast` number, since 26 + 7 + 9 + 6 + 8 + 7 + 3 + 600 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988527 + ... + 48989073.

It is an arithmetic number, because the mean of its divisors is an integer number (148007950).

Almost surely, 2^26796873600 is an apocalyptic number.

26796873600 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 26796873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56835052800).

26796873600 is an abundant number, since it is smaller than the sum of its proper divisors (86873232000).

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

26796873600 is an frugal number, since it uses more digits than its factorization.

26796873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 26796873600 in words is "twenty-six billion, seven hundred ninety-six million, eight hundred seventy-three thousand, six hundred".