26760365320 has 128 divisors (see below), whose sum is σ = 69079651200. Its totient is φ = 9247647744.

The previous prime is 26760365209. The next prime is 26760365327. The reversal of 26760365320 is 2356306762.

It is a happy number.

It is a super-2 number, since 2×26760365320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26760365327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803724 + ... + 836356.

It is an arithmetic number, because the mean of its divisors is an integer number (539684775).

Almost surely, 2^26760365320 is an apocalyptic number.

26760365320 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 26760365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34539825600).

26760365320 is an abundant number, since it is smaller than the sum of its proper divisors (42319285880).

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

26760365320 is a wasteful number, since it uses less digits than its factorization.

26760365320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32759 (or 32755 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 26760365320 in words is "twenty-six billion, seven hundred sixty million, three hundred sixty-five thousand, three hundred twenty".