26083903680 has 336 divisors, whose sum is σ = 91045491264. Its totient is φ = 6853754880.

The previous prime is 26083903667. The next prime is 26083903691. The reversal of 26083903680 is 8630938062.

26083903680 is a `hidden beast` number, since 2 + 608 + 3 + 9 + 0 + 36 + 8 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92825140 + ... + 92825420.

It is an arithmetic number, because the mean of its divisors is an integer number (270968724).

Almost surely, 2^26083903680 is an apocalyptic number.

26083903680 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 26083903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45522745632).

26083903680 is an abundant number, since it is smaller than the sum of its proper divisors (64961587584).

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

26083903680 is a wasteful number, since it uses less digits than its factorization.

26083903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26083903680 in words is "twenty-six billion, eighty-three million, nine hundred three thousand, six hundred eighty".