26920428480 has 504 divisors, whose sum is σ = 103386703056. Its totient is φ = 6423183360.

The previous prime is 26920428397. The next prime is 26920428517. The reversal of 26920428480 is 8482402962.

It is a super-2 number, since 2×26920428480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23347584 + ... + 23348736.

Almost surely, 2^26920428480 is an apocalyptic number.

26920428480 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 26920428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51693351528).

26920428480 is an abundant number, since it is smaller than the sum of its proper divisors (76466274576).

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

26920428480 is a wasteful number, since it uses less digits than its factorization.

26920428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26920428480 in words is "twenty-six billion, nine hundred twenty million, four hundred twenty-eight thousand, four hundred eighty".