516344247315400 has 192 divisors, whose sum is σ = 1444270067942400. Its totient is φ = 167707961084160.

The previous prime is 516344247315349. The next prime is 516344247315487. The reversal of 516344247315400 is 4513742443615.

It is a super-2 number, since 2×516344247315400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671079309 + ... + 671848291.

It is an arithmetic number, because the mean of its divisors is an integer number (7522239937200).

Almost surely, 2^{516344247315400} is an apocalyptic number.

516344247315400 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 516344247315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722135033971200).

516344247315400 is an abundant number, since it is smaller than the sum of its proper divisors (927925820627000).

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

516344247315400 is a wasteful number, since it uses less digits than its factorization.

516344247315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794268 (or 794259 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 516344247315400 in words is "five hundred sixteen trillion, three hundred forty-four billion, two hundred forty-seven million, three hundred fifteen thousand, four hundred".