26578644480 has 320 divisors, whose sum is σ = 94715723520. Its totient is φ = 7064690688.

The previous prime is 26578644467. The next prime is 26578644487. The reversal of 26578644480 is 8444687562.

It is a happy number.

26578644480 is a `hidden beast` number, since 2 + 6 + 578 + 64 + 4 + 4 + 8 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26578644487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38914219 + ... + 38914901.

It is an arithmetic number, because the mean of its divisors is an integer number (295986636).

Almost surely, 2^26578644480 is an apocalyptic number.

26578644480 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 26578644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47357861760).

26578644480 is an abundant number, since it is smaller than the sum of its proper divisors (68137079040).

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

26578644480 is an equidigital number, since it uses as much as digits as its factorization.

26578644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 26578644480 in words is "twenty-six billion, five hundred seventy-eight million, six hundred forty-four thousand, four hundred eighty".