26279814120 has 256 divisors, whose sum is σ = 91189808640. Its totient is φ = 5934809088.

The previous prime is 26279814103. The next prime is 26279814133. The reversal of 26279814120 is 2141897262.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 28046292 + ... + 28047228.

It is an arithmetic number, because the mean of its divisors is an integer number (356210190).

Almost surely, 2^26279814120 is an apocalyptic number.

26279814120 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 26279814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45594904320).

26279814120 is an abundant number, since it is smaller than the sum of its proper divisors (64909994520).

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

26279814120 is a wasteful number, since it uses less digits than its factorization.

26279814120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 26279814120 in words is "twenty-six billion, two hundred seventy-nine million, eight hundred fourteen thousand, one hundred twenty".