26813860752 has 240 divisors, whose sum is σ = 83713392000. Its totient is φ = 7365335040.

The previous prime is 26813860727. The next prime is 26813860771. The reversal of 26813860752 is 25706831862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19165749 + ... + 19167147.

It is an arithmetic number, because the mean of its divisors is an integer number (348805800).

Almost surely, 2^26813860752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26813860752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41856696000).

26813860752 is an abundant number, since it is smaller than the sum of its proper divisors (56899531248).

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

26813860752 is a wasteful number, since it uses less digits than its factorization.

26813860752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 26813860752 in words is "twenty-six billion, eight hundred thirteen million, eight hundred sixty thousand, seven hundred fifty-two".