5192315781120 has 1440 divisors, whose sum is σ = 20240056365984. Its totient is φ = 1223059046400.

The previous prime is 5192315781119. The next prime is 5192315781137. The reversal of 5192315781120 is 211875132915.

5192315781120 is a `hidden beast` number, since 5 + 19 + 2 + 31 + 578 + 11 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4667259027456 + 525056753664 = 2160384^2 + 724608^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28686827430 + ... + 28686827610.

Almost surely, 2^{5192315781120} 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 5192315781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120028182992).

5192315781120 is an abundant number, since it is smaller than the sum of its proper divisors (15047740584864).

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

5192315781120 is a wasteful number, since it uses less digits than its factorization.

5192315781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 5192315781120 in words is "five trillion, one hundred ninety-two billion, three hundred fifteen million, seven hundred eighty-one thousand, one hundred twenty".