26249266080 has 384 divisors, whose sum is σ = 97267564800. Its totient is φ = 6593052672.

The previous prime is 26249266009. The next prime is 26249266117. The reversal of 26249266080 is 8066294262.

26249266080 is a `hidden beast` number, since 26 + 2 + 492 + 6 + 60 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 15840612 + ... + 15842268.

It is an arithmetic number, because the mean of its divisors is an integer number (253300950).

Almost surely, 2^26249266080 is an apocalyptic number.

26249266080 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 26249266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48633782400).

26249266080 is an abundant number, since it is smaller than the sum of its proper divisors (71018298720).

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

26249266080 is a wasteful number, since it uses less digits than its factorization.

26249266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 26249266080 in words is "twenty-six billion, two hundred forty-nine million, two hundred sixty-six thousand, eighty".