26072459280 has 640 divisors, whose sum is σ = 107443123200. Its totient is φ = 5685313536.

The previous prime is 26072459269. The next prime is 26072459291. The reversal of 26072459280 is 8295427062.

26072459280 is a `hidden beast` number, since 260 + 72 + 45 + 9 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (26072459269) and next prime (26072459291).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42532254 + ... + 42532866.

It is an arithmetic number, because the mean of its divisors is an integer number (167879880).

Almost surely, 2^26072459280 is an apocalyptic number.

26072459280 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 26072459280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53721561600).

26072459280 is an abundant number, since it is smaller than the sum of its proper divisors (81370663920).

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

26072459280 is a wasteful number, since it uses less digits than its factorization.

26072459280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26072459280 in words is "twenty-six billion, seventy-two million, four hundred fifty-nine thousand, two hundred eighty".