516617372000 has 192 divisors, whose sum is σ = 1338179693760. Its totient is φ = 195471360000.

The previous prime is 516617371993. The next prime is 516617372003. The reversal of 516617372000 is 273716615.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516617372003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53271152 + ... + 53280848.

It is an arithmetic number, because the mean of its divisors is an integer number (6969685905).

Almost surely, 2^516617372000 is an apocalyptic number.

516617372000 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 516617372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669089846880).

516617372000 is an abundant number, since it is smaller than the sum of its proper divisors (821562321760).

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

516617372000 is a wasteful number, since it uses less digits than its factorization.

516617372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 516617372000 in words is "five hundred sixteen billion, six hundred seventeen million, three hundred seventy-two thousand".