26284834080 has 144 divisors (see below), whose sum is σ = 94417989120. Its totient is φ = 6640372224.

The previous prime is 26284834057. The next prime is 26284834091. The reversal of 26284834080 is 8043848262.

26284834080 is a `hidden beast` number, since 26 + 284 + 8 + 340 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26284834080² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452992 + ... + 507711.

It is an arithmetic number, because the mean of its divisors is an integer number (655680480).

Almost surely, 2^26284834080 is an apocalyptic number.

26284834080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26284834080 is an abundant number, since it is smaller than the sum of its proper divisors (68133155040).

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

26284834080 is a wasteful number, since it uses less digits than its factorization.

26284834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960743 (or 960732 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 26284834080 in words is "twenty-six billion, two hundred eighty-four million, eight hundred thirty-four thousand, eighty".