4798563194880 has 1152 divisors, whose sum is σ = 20888391888000. Its totient is φ = 1012357398528.

The previous prime is 4798563194773. The next prime is 4798563194959. The reversal of 4798563194880 is 884913658974.

4798563194880 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 563 + 19 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 4798563194799 and 4798563194808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410935602 + ... + 410947278.

It is an arithmetic number, because the mean of its divisors is an integer number (18132284625).

Almost surely, 2^{4798563194880} is an apocalyptic number.

4798563194880 is a gapful number since it is divisible by the number (40) 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 4798563194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444195944000).

4798563194880 is an abundant number, since it is smaller than the sum of its proper divisors (16089828693120).

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

4798563194880 is a wasteful number, since it uses less digits than its factorization.

4798563194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 4798563194880 in words is "four trillion, seven hundred ninety-eight billion, five hundred sixty-three million, one hundred ninety-four thousand, eight hundred eighty".