26578662240 has 384 divisors, whose sum is σ = 100498890240. Its totient is φ = 5833064448.

The previous prime is 26578662239. The next prime is 26578662263. The reversal of 26578662240 is 4226687562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26578662240.

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, 2008927 + ... + 2022113.

It is an arithmetic number, because the mean of its divisors is an integer number (261715860).

Almost surely, 2^26578662240 is an apocalyptic number.

26578662240 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 26578662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249445120).

26578662240 is an abundant number, since it is smaller than the sum of its proper divisors (73920228000).

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

26578662240 is a wasteful number, since it uses less digits than its factorization.

26578662240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 26578662240 in words is "twenty-six billion, five hundred seventy-eight million, six hundred sixty-two thousand, two hundred forty".