26760856320 has 432 divisors, whose sum is σ = 101567112192. Its totient is φ = 6451568640.

The previous prime is 26760856307. The next prime is 26760856351. The reversal of 26760856320 is 2365806762.

It is a happy number.

26760856320 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 0 + 8 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×26760856320² (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 47 ways as a sum of consecutive naturals, for example, 28258087 + ... + 28259033.

It is an arithmetic number, because the mean of its divisors is an integer number (235109056).

Almost surely, 2^26760856320 is an apocalyptic number.

26760856320 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 26760856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50783556096).

26760856320 is an abundant number, since it is smaller than the sum of its proper divisors (74806255872).

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

26760856320 is a wasteful number, since it uses less digits than its factorization.

26760856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26760856320 in words is "twenty-six billion, seven hundred sixty million, eight hundred fifty-six thousand, three hundred twenty".