26900727168 has 320 divisors, whose sum is σ = 84339230400. Its totient is φ = 7596094464.

The previous prime is 26900727167. The next prime is 26900727179. The reversal of 26900727168 is 86172700962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26900727167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150283303 + ... + 150283481.

It is an arithmetic number, because the mean of its divisors is an integer number (263560095).

Almost surely, 2^26900727168 is an apocalyptic number.

26900727168 is a gapful number since it is divisible by the number (28) 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 26900727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42169615200).

26900727168 is an abundant number, since it is smaller than the sum of its proper divisors (57438503232).

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

26900727168 is an equidigital number, since it uses as much as digits as its factorization.

26900727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 26900727168 in words is "twenty-six billion, nine hundred million, seven hundred twenty-seven thousand, one hundred sixty-eight".