26975316480 has 320 divisors, whose sum is σ = 99238791168. Its totient is φ = 6123110400.

The previous prime is 26975316451. The next prime is 26975316493. The reversal of 26975316480 is 8461357962.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8116099 + ... + 8119421.

It is a 1-persistent number, because it is pandigital, but 2⋅26975316480 = 53950632960 is not.

Almost surely, 2^26975316480 is an apocalyptic number.

26975316480 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 26975316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49619395584).

26975316480 is an abundant number, since it is smaller than the sum of its proper divisors (72263474688).

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

26975316480 is a wasteful number, since it uses less digits than its factorization.

26975316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 26975316480 in words is "twenty-six billion, nine hundred seventy-five million, three hundred sixteen thousand, four hundred eighty".