5016968409600 has 3600 divisors, whose sum is σ = 23638000756392. Its totient is φ = 1043422248960.

The previous prime is 5016968409587. The next prime is 5016968409611. The reversal of 5016968409600 is 69048696105.

It is a happy number.

5016968409600 is a `hidden beast` number, since 501 + 6 + 9 + 6 + 8 + 40 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1236152606976 + 3780815802624 = 1111824^2 + 1944432^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31955212722 + ... + 31955212878.

Almost surely, 2^{5016968409600} is an apocalyptic number.

5016968409600 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 5016968409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819000378196).

5016968409600 is an abundant number, since it is smaller than the sum of its proper divisors (18621032346792).

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

5016968409600 is a wasteful number, since it uses less digits than its factorization.

5016968409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5016968409600 in words is "five trillion, sixteen billion, nine hundred sixty-eight million, four hundred nine thousand, six hundred".