26966580480 has 1152 divisors, whose sum is σ = 118676275200. Its totient is φ = 5658771456.

The previous prime is 26966580451. The next prime is 26966580493. The reversal of 26966580480 is 8408566962.

It is a happy number.

26966580480 is a `hidden beast` number, since 26 + 9 + 6 + 65 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×26966580480³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 324898519 + ... + 324898601.

It is an arithmetic number, because the mean of its divisors is an integer number (103017600).

Almost surely, 2^26966580480 is an apocalyptic number.

26966580480 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 26966580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59338137600).

26966580480 is an abundant number, since it is smaller than the sum of its proper divisors (91709694720).

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

26966580480 is a wasteful number, since it uses less digits than its factorization.

26966580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 26966580480 in words is "twenty-six billion, nine hundred sixty-six million, five hundred eighty thousand, four hundred eighty".