26772996096 has 640 divisors, whose sum is σ = 100485601920. Its totient is φ = 6900940800.

The previous prime is 26772996079. The next prime is 26772996181. The reversal of 26772996096 is 69069927762.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204373951 + ... + 204374081.

It is an arithmetic number, because the mean of its divisors is an integer number (157008753).

Almost surely, 2^26772996096 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 26772996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50242800960).

26772996096 is an abundant number, since it is smaller than the sum of its proper divisors (73712605824).

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

26772996096 is an equidigital number, since it uses as much as digits as its factorization.

26772996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 26772996096 in words is "twenty-six billion, seven hundred seventy-two million, nine hundred ninety-six thousand, ninety-six".