5065307755200 has 2016 divisors, whose sum is σ = 23184688370688. Its totient is φ = 1018220544000.

The previous prime is 5065307755177. The next prime is 5065307755213. The reversal of 5065307755200 is 25577035605.

5065307755200 is a `hidden beast` number, since 5 + 0 + 6 + 53 + 0 + 7 + 75 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 12758961402 + ... + 12758961798.

Almost surely, 2^{5065307755200} is an apocalyptic number.

5065307755200 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 5065307755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592344185344).

5065307755200 is an abundant number, since it is smaller than the sum of its proper divisors (18119380615488).

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

5065307755200 is a wasteful number, since it uses less digits than its factorization.

5065307755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 5065307755200 in words is "five trillion, sixty-five billion, three hundred seven million, seven hundred fifty-five thousand, two hundred".