5206012008912 has 480 divisors, whose sum is σ = 18203498651520. Its totient is φ = 1365351137280.

The previous prime is 5206012008877. The next prime is 5206012008919. The reversal of 5206012008912 is 2198002106025.

5206012008912 is a `hidden beast` number, since 5 + 20 + 601 + 20 + 0 + 8 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×5206012008912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206012008919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37882468 + ... + 38019644.

It is an arithmetic number, because the mean of its divisors is an integer number (37923955524).

Almost surely, 2^{5206012008912} is an apocalyptic number.

5206012008912 is a gapful number since it is divisible by the number (52) 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 5206012008912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101749325760).

5206012008912 is an abundant number, since it is smaller than the sum of its proper divisors (12997486642608).

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

5206012008912 is a wasteful number, since it uses less digits than its factorization.

5206012008912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137331 (or 137322 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5206012008912 in words is "five trillion, two hundred six billion, twelve million, eight thousand, nine hundred twelve".