5186194320000 has 640 divisors, whose sum is σ = 17671963161600. Its totient is φ = 1346526720000.

The previous prime is 5186194319963. The next prime is 5186194320059. The reversal of 5186194320000 is 234916815.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5186194320000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2380078911 + ... + 2380081089.

It is an arithmetic number, because the mean of its divisors is an integer number (27612442440).

Almost surely, 2^{5186194320000} is an apocalyptic number.

5186194320000 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 5186194320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835981580800).

5186194320000 is an abundant number, since it is smaller than the sum of its proper divisors (12485768841600).

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

5186194320000 is a wasteful number, since it uses less digits than its factorization.

5186194320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 5186194320000 in words is "five trillion, one hundred eighty-six billion, one hundred ninety-four million, three hundred twenty thousand".