26898952080 has 1280 divisors, whose sum is σ = 120952258560. Its totient is φ = 4760985600.

The previous prime is 26898952057. The next prime is 26898952109. The reversal of 26898952080 is 8025989862.

It is a Cunningham number, because it is equal to 164009²-1.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 26898952080.

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 255 ways as a sum of consecutive naturals, for example, 324083719 + ... + 324083801.

It is an arithmetic number, because the mean of its divisors is an integer number (94493952).

Almost surely, 2^26898952080 is an apocalyptic number.

26898952080 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 26898952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60476129280).

26898952080 is an abundant number, since it is smaller than the sum of its proper divisors (94053306480).

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

26898952080 is a wasteful number, since it uses less digits than its factorization.

26898952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 26898952080 in words is "twenty-six billion, eight hundred ninety-eight million, nine hundred fifty-two thousand, eighty".