104812078758400 has 480 divisors, whose sum is σ = 284742733923648. Its totient is φ = 38000561356800.

The previous prime is 104812078758311. The next prime is 104812078758419. The reversal of 104812078758400 is 4857870218401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757395395 + ... + 2757433405.

Almost surely, 2^{104812078758400} is an apocalyptic number.

104812078758400 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 104812078758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142371366961824).

104812078758400 is an abundant number, since it is smaller than the sum of its proper divisors (179930655165248).

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

104812078758400 is a wasteful number, since it uses less digits than its factorization.

104812078758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38352 (or 38331 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 55.

The spelling of 104812078758400 in words is "one hundred four trillion, eight hundred twelve billion, seventy-eight million, seven hundred fifty-eight thousand, four hundred".