26582545080 has 576 divisors, whose sum is σ = 113943866400. Its totient is φ = 5312563200.

The previous prime is 26582545079. The next prime is 26582545081. The reversal of 26582545080 is 8054528562.

It is a happy number.

26582545080 is a `hidden beast` number, since 2 + 65 + 82 + 5 + 4 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26582545079) and next prime (26582545081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26582545081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4354030 + ... + 4360130.

Almost surely, 2^26582545080 is an apocalyptic number.

26582545080 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 26582545080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56971933200).

26582545080 is an abundant number, since it is smaller than the sum of its proper divisors (87361321320).

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

26582545080 is a wasteful number, since it uses less digits than its factorization.

26582545080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 26582545080 in words is "twenty-six billion, five hundred eighty-two million, five hundred forty-five thousand, eighty".