26795316240 has 640 divisors, whose sum is σ = 118803824640. Its totient is φ = 5387212800.

The previous prime is 26795316239. The next prime is 26795316253. The reversal of 26795316240 is 4261359762.

26795316240 is a `hidden beast` number, since 2 + 6 + 7 + 95 + 316 + 240 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5153322 + ... + 5158518.

It is an arithmetic number, because the mean of its divisors is an integer number (185630976).

Almost surely, 2^26795316240 is an apocalyptic number.

26795316240 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 26795316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59401912320).

26795316240 is an abundant number, since it is smaller than the sum of its proper divisors (92008508400).

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

26795316240 is a wasteful number, since it uses less digits than its factorization.

26795316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 26795316240 in words is "twenty-six billion, seven hundred ninety-five million, three hundred sixteen thousand, two hundred forty".