19793805094980 has 432 divisors, whose sum is σ = 71895453804720. Its totient is φ = 4393161916416.

The previous prime is 19793805094979. The next prime is 19793805094993. The reversal of 19793805094980 is 8949050839791.

19793805094980 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 3 + 80 + 50 + 9 + 498 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 100073526336 + 19693731568644 = 316344^2 + 4437762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19793805094899 and 19793805094908.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45125356 + ... + 45561884.

It is an arithmetic number, because the mean of its divisors is an integer number (166424661585).

Almost surely, 2^{19793805094980} is an apocalyptic number.

19793805094980 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 19793805094980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35947726902360).

19793805094980 is an abundant number, since it is smaller than the sum of its proper divisors (52101648709740).

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

19793805094980 is a wasteful number, since it uses less digits than its factorization.

19793805094980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436708 (or 436696 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 19793805094980 in words is "nineteen trillion, seven hundred ninety-three billion, eight hundred five million, ninety-four thousand, nine hundred eighty".