26305791840 has 576 divisors, whose sum is σ = 104444121600. Its totient is φ = 5980372992.

The previous prime is 26305791793. The next prime is 26305791847. The reversal of 26305791840 is 4819750362.

26305791840 is a `hidden beast` number, since 2 + 6 + 30 + 579 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26305791847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10696531 + ... + 10698989.

It is an arithmetic number, because the mean of its divisors is an integer number (181326600).

It is a 1-persistent number, because it is pandigital, but 2⋅26305791840 = 52611583680 is not.

Almost surely, 2^26305791840 is an apocalyptic number.

26305791840 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 26305791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52222060800).

26305791840 is an abundant number, since it is smaller than the sum of its proper divisors (78138329760).

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

26305791840 is a wasteful number, since it uses less digits than its factorization.

26305791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 26305791 and 840, that added together give a triangular number (26306631 = T₇₂₅₃).

The spelling of 26305791840 in words is "twenty-six billion, three hundred five million, seven hundred ninety-one thousand, eight hundred forty".