26549268480 has 832 divisors, whose sum is σ = 113861452800. Its totient is φ = 5749014528.

The previous prime is 26549268433. The next prime is 26549268517. The reversal of 26549268480 is 8486294562.

26549268480 is a `hidden beast` number, since 2 + 65 + 49 + 2 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397329911 + ... + 1397329929.

Almost surely, 2^26549268480 is an apocalyptic number.

26549268480 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 26549268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56930726400).

26549268480 is an abundant number, since it is smaller than the sum of its proper divisors (87312184320).

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

26549268480 is an frugal number, since it uses more digits than its factorization.

26549268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26549268480 in words is "twenty-six billion, five hundred forty-nine million, two hundred sixty-eight thousand, four hundred eighty".