5017576320900 has 324 divisors, whose sum is σ = 18616826031076. Its totient is φ = 1122813964800.

The previous prime is 5017576320817. The next prime is 5017576320901. The reversal of 5017576320900 is 90236757105.

5017576320900 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 5 + 7 + 632 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21063877956 + 4996512442944 = 145134^2 + 2235288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5017576320901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 356419 + ... + 3187818.

Almost surely, 2^{5017576320900} is an apocalyptic number.

5017576320900 is a gapful number since it is divisible by the number (50) 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 5017576320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308413015538).

5017576320900 is an abundant number, since it is smaller than the sum of its proper divisors (13599249710176).

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

5017576320900 is a wasteful number, since it uses less digits than its factorization.

5017576320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544292 (or 3544271 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 5017576320900 in words is "five trillion, seventeen billion, five hundred seventy-six million, three hundred twenty thousand, nine hundred".