26802074880 has 1440 divisors, whose sum is σ = 123665270400. Its totient is φ = 5462360064.

The previous prime is 26802074879. The next prime is 26802074933. The reversal of 26802074880 is 8847020862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1410635511 + ... + 1410635529.

It is an arithmetic number, because the mean of its divisors is an integer number (85878660).

Almost surely, 2^26802074880 is an apocalyptic number.

26802074880 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 26802074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61832635200).

26802074880 is an abundant number, since it is smaller than the sum of its proper divisors (96863195520).

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

26802074880 is an equidigital number, since it uses as much as digits as its factorization.

26802074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 26802074880 in words is "twenty-six billion, eight hundred two million, seventy-four thousand, eight hundred eighty".