5066525116800 has 1152 divisors, whose sum is σ = 21779076883200. Its totient is φ = 1139003596800.

The previous prime is 5066525116771. The next prime is 5066525116811. The reversal of 5066525116800 is 86115256605.

5066525116800 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 52 + 511 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332027571 + ... + 332042829.

Almost surely, 2^{5066525116800} is an apocalyptic number.

5066525116800 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 5066525116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889538441600).

5066525116800 is an abundant number, since it is smaller than the sum of its proper divisors (16712551766400).

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

5066525116800 is a wasteful number, since it uses less digits than its factorization.

5066525116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 5066525116800 in words is "five trillion, sixty-six billion, five hundred twenty-five million, one hundred sixteen thousand, eight hundred".