5194909792800 has 2592 divisors, whose sum is σ = 24041230012800. Its totient is φ = 1093691289600.

The previous prime is 5194909792769. The next prime is 5194909792811. The reversal of 5194909792800 is 82979094915.

5194909792800 is a `hidden beast` number, since 51 + 9 + 490 + 9 + 7 + 92 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11268784570 + ... + 11268785030.

It is an arithmetic number, because the mean of its divisors is an integer number (9275165900).

Almost surely, 2^{5194909792800} is an apocalyptic number.

5194909792800 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 5194909792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020615006400).

5194909792800 is an abundant number, since it is smaller than the sum of its proper divisors (18846320220000).

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

5194909792800 is a wasteful number, since it uses less digits than its factorization.

5194909792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 5194909792800 in words is "five trillion, one hundred ninety-four billion, nine hundred nine million, seven hundred ninety-two thousand, eight hundred".