5116448601600 has 1620 divisors, whose sum is σ = 21103478388036. Its totient is φ = 1089334149120.

The previous prime is 5116448601577. The next prime is 5116448601629. The reversal of 5116448601600 is 61068446115.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 52746892752 + ... + 52746892848.

Almost surely, 2^{5116448601600} is an apocalyptic number.

5116448601600 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 5116448601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551739194018).

5116448601600 is an abundant number, since it is smaller than the sum of its proper divisors (15987029786436).

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

5116448601600 is an equidigital number, since it uses as much as digits as its factorization.

5116448601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 5116448601600 in words is "five trillion, one hundred sixteen billion, four hundred forty-eight million, six hundred one thousand, six hundred".