26240766540 has 96 divisors (see below), whose sum is σ = 75890196480. Its totient is φ = 6767712000.

The previous prime is 26240766533. The next prime is 26240766547. The reversal of 26240766540 is 4566704262.

It is an interprime number because it is at equal distance from previous prime (26240766533) and next prime (26240766547).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26240766492 and 26240766501.

It is not an unprimeable number, because it can be changed into a prime (26240766547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4161390 + ... + 4167690.

It is an arithmetic number, because the mean of its divisors is an integer number (790522880).

Almost surely, 2^26240766540 is an apocalyptic number.

26240766540 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 26240766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37945098240).

26240766540 is an abundant number, since it is smaller than the sum of its proper divisors (49649429940).

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

26240766540 is a wasteful number, since it uses less digits than its factorization.

26240766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 26240766540 in words is "twenty-six billion, two hundred forty million, seven hundred sixty-six thousand, five hundred forty".