5105198197440 has 1176 divisors, whose sum is σ = 21214896010560. Its totient is φ = 1164712919040.

The previous prime is 5105198197417. The next prime is 5105198197441. The reversal of 5105198197440 is 447918915015.

5105198197440 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 1 + 9 + 8 + 197 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5105198197441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 479851641 + ... + 479862279.

It is an arithmetic number, because the mean of its divisors is an integer number (18039877560).

Almost surely, 2^{5105198197440} 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 5105198197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607448005280).

5105198197440 is an abundant number, since it is smaller than the sum of its proper divisors (16109697813120).

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

5105198197440 is a wasteful number, since it uses less digits than its factorization.

5105198197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 5105198197440 in words is "five trillion, one hundred five billion, one hundred ninety-eight million, one hundred ninety-seven thousand, four hundred forty".