5190566400000 has 1248 divisors, whose sum is σ = 20087141840640. Its totient is φ = 1321943040000.

The previous prime is 5190566399957. The next prime is 5190566400001. The reversal of 5190566400000 is 46650915.

5190566400000 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 5 + 6 + 640 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190566400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7948799674 + ... + 7948800326.

Almost surely, 2^{5190566400000} is an apocalyptic number.

5190566400000 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 5190566400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043570920320).

5190566400000 is an abundant number, since it is smaller than the sum of its proper divisors (14896575440640).

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

5190566400000 is an frugal number, since it uses more digits than its factorization.

5190566400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5190566400000 in words is "five trillion, one hundred ninety billion, five hundred sixty-six million, four hundred thousand".