26963127840 has 96 divisors (see below), whose sum is σ = 92655130176. Its totient is φ = 6536514560.

The previous prime is 26963127803. The next prime is 26963127847. The reversal of 26963127840 is 4872136962.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26963127840.

It is not an unprimeable number, because it can be changed into a prime (26963127847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2548047 + ... + 2558606.

It is an arithmetic number, because the mean of its divisors is an integer number (965157606).

Almost surely, 2^26963127840 is an apocalyptic number.

26963127840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26963127840 is an abundant number, since it is smaller than the sum of its proper divisors (65692002336).

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

26963127840 is a wasteful number, since it uses less digits than its factorization.

26963127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106682 (or 5106674 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 26963127840 in words is "twenty-six billion, nine hundred sixty-three million, one hundred twenty-seven thousand, eight hundred forty".