5163514387200 has 1296 divisors, whose sum is σ = 20789783146496. Its totient is φ = 1260383846400.

The previous prime is 5163514387169. The next prime is 5163514387249. The reversal of 5163514387200 is 27834153615.

It is a happy number.

5163514387200 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 5 + 1 + 438 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2567634195 + ... + 2567636205.

Almost surely, 2^{5163514387200} is an apocalyptic number.

5163514387200 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 5163514387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394891573248).

5163514387200 is an abundant number, since it is smaller than the sum of its proper divisors (15626268759296).

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

5163514387200 is a wasteful number, since it uses less digits than its factorization.

5163514387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5163514387200 in words is "five trillion, one hundred sixty-three billion, five hundred fourteen million, three hundred eighty-seven thousand, two hundred".