26667312480 has 240 divisors, whose sum is σ = 99650295360. Its totient is φ = 6692917248.

The previous prime is 26667312439. The next prime is 26667312517. The reversal of 26667312480 is 8421376662.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×26667312480² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159801 + ... + 280839.

It is an arithmetic number, because the mean of its divisors is an integer number (415209564).

Almost surely, 2^26667312480 is an apocalyptic number.

26667312480 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 26667312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49825147680).

26667312480 is an abundant number, since it is smaller than the sum of its proper divisors (72982982880).

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

26667312480 is a wasteful number, since it uses less digits than its factorization.

26667312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121083 (or 121066 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26667312480 in words is "twenty-six billion, six hundred sixty-seven million, three hundred twelve thousand, four hundred eighty".