104349757766400 has 540 divisors, whose sum is σ = 386005365242112. Its totient is φ = 27813853716480.

The previous prime is 104349757766383. The next prime is 104349757766417. The reversal of 104349757766400 is 4667757943401.

It is a happy number.

104349757766400 is a `hidden beast` number, since 1 + 0 + 4 + 34 + 9 + 75 + 77 + 66 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (104349757766383) and next prime (104349757766417).

It is a tau number, because it is divible by the number of its divisors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1159615809 + ... + 1159705791.

Almost surely, 2^{104349757766400} is an apocalyptic number.

104349757766400 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 104349757766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193002682621056).

104349757766400 is an abundant number, since it is smaller than the sum of its proper divisors (281655607475712).

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

104349757766400 is an equidigital number, since it uses as much as digits as its factorization.

104349757766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92258 (or 92230 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 104349757766400 in words is "one hundred four trillion, three hundred forty-nine billion, seven hundred fifty-seven million, seven hundred sixty-six thousand, four hundred".