104495576064000 has 1792 divisors, whose sum is σ = 405869793458688. Its totient is φ = 23592960000000.

The previous prime is 104495576063999. The next prime is 104495576064037. The reversal of 104495576064000 is 460675594401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58020863100 + ... + 58020864900.

Almost surely, 2^{104495576064000} is an apocalyptic number.

104495576064000 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 104495576064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202934896729344).

104495576064000 is an abundant number, since it is smaller than the sum of its proper divisors (301374217394688).

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

104495576064000 is a wasteful number, since it uses less digits than its factorization.

104495576064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 104495576064000 in words is "one hundred four trillion, four hundred ninety-five billion, five hundred seventy-six million, sixty-four thousand".