5198409854976 has 416 divisors, whose sum is σ = 15481026695680. Its totient is φ = 1540990697472.

The previous prime is 5198409854969. The next prime is 5198409854993. The reversal of 5198409854976 is 6794589048915.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 5198409854898 and 5198409854907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608780115 + ... + 608788653.

It is an arithmetic number, because the mean of its divisors is an integer number (37214006480).

Almost surely, 2^{5198409854976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5198409854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740513347840).

5198409854976 is an abundant number, since it is smaller than the sum of its proper divisors (10282616840704).

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

5198409854976 is a wasteful number, since it uses less digits than its factorization.

5198409854976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 75.

The spelling of 5198409854976 in words is "five trillion, one hundred ninety-eight billion, four hundred nine million, eight hundred fifty-four thousand, nine hundred seventy-six".