26086767840 has 432 divisors, whose sum is σ = 105165182304. Its totient is φ = 5768202240.

The previous prime is 26086767827. The next prime is 26086767853. The reversal of 26086767840 is 4876768062.

It is an interprime number because it is at equal distance from previous prime (26086767827) and next prime (26086767853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9685534 + ... + 9688226.

It is an arithmetic number, because the mean of its divisors is an integer number (243437922).

Almost surely, 2^26086767840 is an apocalyptic number.

26086767840 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 26086767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52582591152).

26086767840 is an abundant number, since it is smaller than the sum of its proper divisors (79078414464).

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

26086767840 is a wasteful number, since it uses less digits than its factorization.

26086767840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 26086767840 in words is "twenty-six billion, eighty-six million, seven hundred sixty-seven thousand, eight hundred forty".