5192946723840 has 704 divisors, whose sum is σ = 17356694446080. Its totient is φ = 1324116541440.

The previous prime is 5192946723791. The next prime is 5192946723841. The reversal of 5192946723840 is 483276492915.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5192946723841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10576265995 + ... + 10576266485.

It is an arithmetic number, because the mean of its divisors is an integer number (24654395520).

It is a 1-persistent number, because it is pandigital, but 2⋅5192946723840 = 10385893447680 is not.

Almost surely, 2^{5192946723840} 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 5192946723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678347223040).

5192946723840 is an abundant number, since it is smaller than the sum of its proper divisors (12163747722240).

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

5192946723840 is a wasteful number, since it uses less digits than its factorization.

5192946723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 5192946723840 in words is "five trillion, one hundred ninety-two billion, nine hundred forty-six million, seven hundred twenty-three thousand, eight hundred forty".