26981434480 has 480 divisors, whose sum is σ = 86634455040. Its totient is φ = 7681443840.

The previous prime is 26981434471. The next prime is 26981434507. The reversal of 26981434480 is 8443418962.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71190931 + ... + 71191309.

It is an arithmetic number, because the mean of its divisors is an integer number (180488448).

Almost surely, 2^26981434480 is an apocalyptic number.

26981434480 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 26981434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43317227520).

26981434480 is an abundant number, since it is smaller than the sum of its proper divisors (59653020560).

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

26981434480 is a wasteful number, since it uses less digits than its factorization.

26981434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 26981434480 in words is "twenty-six billion, nine hundred eighty-one million, four hundred thirty-four thousand, four hundred eighty".