26578845360 has 160 divisors (see below), whose sum is σ = 91624135680. Its totient is φ = 7081903872.

The previous prime is 26578845323. The next prime is 26578845367. The reversal of 26578845360 is 6354887562.

26578845360 is a `hidden beast` number, since 2 + 6 + 57 + 88 + 453 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26578845297 and 26578845306.

It is not an unprimeable number, because it can be changed into a prime (26578845367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078009 + ... + 3086631.

It is an arithmetic number, because the mean of its divisors is an integer number (572650848).

Almost surely, 2^26578845360 is an apocalyptic number.

26578845360 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 26578845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812067840).

26578845360 is an abundant number, since it is smaller than the sum of its proper divisors (65045290320).

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

26578845360 is a wasteful number, since it uses less digits than its factorization.

26578845360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 26578845360 in words is "twenty-six billion, five hundred seventy-eight million, eight hundred forty-five thousand, three hundred sixty".