26345638120800 has 72 divisors (see below), whose sum is σ = 85755052091016. Its totient is φ = 7025503498240.

The previous prime is 26345638120751. The next prime is 26345638120801. The reversal of 26345638120800 is 802183654362.

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 26345638120800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26345638120801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5488672209 + ... + 5488677008.

It is an arithmetic number, because the mean of its divisors is an integer number (1191042390153).

Almost surely, 2^{26345638120800} is an apocalyptic number.

26345638120800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26345638120800 is an abundant number, since it is smaller than the sum of its proper divisors (59409413970216).

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

26345638120800 is a wasteful number, since it uses less digits than its factorization.

26345638120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977349240 (or 10977349227 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 26345638120800 in words is "twenty-six trillion, three hundred forty-five billion, six hundred thirty-eight million, one hundred twenty thousand, eight hundred".