8459794954800 has 360 divisors, whose sum is σ = 33877571529984. Its totient is φ = 1914893360640.

The previous prime is 8459794954789. The next prime is 8459794954813. The reversal of 8459794954800 is 84594979548.

8459794954800 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 79 + 4 + 9 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965959 + ... + 4225241.

Almost surely, 2^{8459794954800} is an apocalyptic number.

8459794954800 is a gapful number since it is divisible by the number (80) 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 8459794954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938785764992).

8459794954800 is an abundant number, since it is smaller than the sum of its proper divisors (25417776575184).

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

8459794954800 is a wasteful number, since it uses less digits than its factorization.

8459794954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259417 (or 3259403 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 8459794954800 in words is "eight trillion, four hundred fifty-nine billion, seven hundred ninety-four million, nine hundred fifty-four thousand, eight hundred".