5185982361600 has 1560 divisors, whose sum is σ = 20151300567552. Its totient is φ = 1322193715200.

The previous prime is 5185982361589. The next prime is 5185982361647. The reversal of 5185982361600 is 61632895815.

5185982361600 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 9 + 8 + 23 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62481715159 + ... + 62481715241.

Almost surely, 2^{5185982361600} is an apocalyptic number.

5185982361600 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 5185982361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075650283776).

5185982361600 is an abundant number, since it is smaller than the sum of its proper divisors (14965318205952).

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

5185982361600 is an frugal number, since it uses more digits than its factorization.

5185982361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5185982361600 in words is "five trillion, one hundred eighty-five billion, nine hundred eighty-two million, three hundred sixty-one thousand, six hundred".