26930494080 has 768 divisors, whose sum is σ = 111320352000. Its totient is φ = 5993422848.

The previous prime is 26930494051. The next prime is 26930494099. The reversal of 26930494080 is 8049403962.

26930494080 is a `hidden beast` number, since 269 + 304 + 9 + 4 + 0 + 80 = 666.

It is a super-2 number, since 2×26930494080² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 84954082 + ... + 84954398.

It is an arithmetic number, because the mean of its divisors is an integer number (144948375).

Almost surely, 2^26930494080 is an apocalyptic number.

26930494080 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 26930494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55660176000).

26930494080 is an abundant number, since it is smaller than the sum of its proper divisors (84389857920).

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

26930494080 is a wasteful number, since it uses less digits than its factorization.

26930494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26930494080 in words is "twenty-six billion, nine hundred thirty million, four hundred ninety-four thousand, eighty".