5319745113600 has 1260 divisors, whose sum is σ = 20218386190464. Its totient is φ = 1386422231040.

The previous prime is 5319745113593. The next prime is 5319745113611. The reversal of 5319745113600 is 63115479135.

5319745113600 is a `hidden beast` number, since 5 + 3 + 1 + 9 + 74 + 511 + 3 + 60 + 0 = 666.

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 125 ways as a sum of consecutive naturals, for example, 41887756737 + ... + 41887756863.

Almost surely, 2^{5319745113600} is an apocalyptic number.

5319745113600 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 5319745113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109193095232).

5319745113600 is an abundant number, since it is smaller than the sum of its proper divisors (14898641076864).

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

5319745113600 is an frugal number, since it uses more digits than its factorization.

5319745113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

It can be divided in two parts, 5319745 and 113600, that added together give a palindrome (5433345).

The spelling of 5319745113600 in words is "five trillion, three hundred nineteen billion, seven hundred forty-five million, one hundred thirteen thousand, six hundred".