516347172000 has 864 divisors, whose sum is σ = 2034015656400. Its totient is φ = 123949056000.

The previous prime is 516347171987. The next prime is 516347172017. The reversal of 516347172000 is 271743615.

It is a happy number.

516347172000 is a `hidden beast` number, since 5 + 1 + 634 + 7 + 17 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4303884816 + 512043287184 = 65604^2 + 715572^2 .

It is a super-2 number, since 2×516347172000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492227476 + ... + 492228524.

Almost surely, 2^516347172000 is an apocalyptic number.

516347172000 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 516347172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017007828200).

516347172000 is an abundant number, since it is smaller than the sum of its proper divisors (1517668484400).

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

516347172000 is a wasteful number, since it uses less digits than its factorization.

516347172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 516347172000 in words is "five hundred sixteen billion, three hundred forty-seven million, one hundred seventy-two thousand".