104517268970400 has 2592 divisors, whose sum is σ = 453651919418880. Its totient is φ = 22464962150400.

The previous prime is 104517268970333. The next prime is 104517268970447. The reversal of 104517268970400 is 4079862715401.

104517268970400 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 172 + 68 + 9 + 7 + 0 + 400 = 666.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 73242654487 + ... + 73242655913.

It is an arithmetic number, because the mean of its divisors is an integer number (175020030640).

Almost surely, 2^{104517268970400} is an apocalyptic number.

104517268970400 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 104517268970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226825959709440).

104517268970400 is an abundant number, since it is smaller than the sum of its proper divisors (349134650448480).

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

104517268970400 is a wasteful number, since it uses less digits than its factorization.

104517268970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 104517268970400 in words is "one hundred four trillion, five hundred seventeen billion, two hundred sixty-eight million, nine hundred seventy thousand, four hundred".