26945541000 has 1152 divisors, whose sum is σ = 114967157760. Its totient is φ = 5878656000.

The previous prime is 26945540989. The next prime is 26945541037. The reversal of 26945541000 is 14554962.

26945541000 is a `hidden beast` number, since 2 + 6 + 94 + 554 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 369116964 + ... + 369117036.

It is an arithmetic number, because the mean of its divisors is an integer number (99797880).

Almost surely, 2^26945541000 is an apocalyptic number.

26945541000 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 26945541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57483578880).

26945541000 is an abundant number, since it is smaller than the sum of its proper divisors (88021616760).

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

26945541000 is a wasteful number, since it uses less digits than its factorization.

26945541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 26945541000 in words is "twenty-six billion, nine hundred forty-five million, five hundred forty-one thousand".