26975148480 has 672 divisors, whose sum is σ = 115942993920. Its totient is φ = 5613649920.

The previous prime is 26975148467. The next prime is 26975148481. The reversal of 26975148480 is 8484157962.

It is a happy number.

26975148480 is a `hidden beast` number, since 26 + 97 + 51 + 4 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26975148481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10623051 + ... + 10625589.

Almost surely, 2^26975148480 is an apocalyptic number.

26975148480 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 26975148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57971496960).

26975148480 is an abundant number, since it is smaller than the sum of its proper divisors (88967845440).

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

26975148480 is a wasteful number, since it uses less digits than its factorization.

26975148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 26975148480 in words is "twenty-six billion, nine hundred seventy-five million, one hundred forty-eight thousand, four hundred eighty".