516117938400 has 360 divisors, whose sum is σ = 1928098562544. Its totient is φ = 134273894400.

The previous prime is 516117938383. The next prime is 516117938459. The reversal of 516117938400 is 4839711615.

516117938400 is a `hidden beast` number, since 516 + 1 + 1 + 7 + 93 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 2559669 + ... + 2753931.

Almost surely, 2^516117938400 is an apocalyptic number.

516117938400 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 516117938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964049281272).

516117938400 is an abundant number, since it is smaller than the sum of its proper divisors (1411980624144).

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

516117938400 is a wasteful number, since it uses less digits than its factorization.

516117938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194336 (or 194314 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 516117938400 in words is "five hundred sixteen billion, one hundred seventeen million, nine hundred thirty-eight thousand, four hundred".