26676578880 has 336 divisors, whose sum is σ = 108750445440. Its totient is φ = 6097379328.

The previous prime is 26676578879. The next prime is 26676578897. The reversal of 26676578880 is 8887567662.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519816 + ... + 568824.

It is an arithmetic number, because the mean of its divisors is an integer number (323662040).

Almost surely, 2^26676578880 is an apocalyptic number.

26676578880 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 26676578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54375222720).

26676578880 is an abundant number, since it is smaller than the sum of its proper divisors (82073866560).

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

26676578880 is an equidigital number, since it uses as much as digits as its factorization.

26676578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49048 (or 49026 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 26676578880 in words is "twenty-six billion, six hundred seventy-six million, five hundred seventy-eight thousand, eight hundred eighty".