104027577225600 has 768 divisors, whose sum is σ = 405125356032000. Its totient is φ = 22959253094400.

The previous prime is 104027577225581. The next prime is 104027577225647. The reversal of 104027577225600 is 6522775720401.

It is a happy number.

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 104027577225600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935301192 + ... + 935412408.

It is an arithmetic number, because the mean of its divisors is an integer number (527506974000).

Almost surely, 2^{104027577225600} is an apocalyptic number.

104027577225600 is a gapful number since it is divisible by the number (10) 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 104027577225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202562678016000).

104027577225600 is an abundant number, since it is smaller than the sum of its proper divisors (301097778806400).

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

104027577225600 is a wasteful number, since it uses less digits than its factorization.

104027577225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111731 (or 111714 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 104027577225600 in words is "one hundred four trillion, twenty-seven billion, five hundred seventy-seven million, two hundred twenty-five thousand, six hundred".