5012601140736 has 720 divisors, whose sum is σ = 17969476022784. Its totient is φ = 1337985589248.

The previous prime is 5012601140647. The next prime is 5012601140809. The reversal of 5012601140736 is 6370411062105.

5012601140736 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 601 + 1 + 40 + 7 + 3 + 6 = 666.

It is a super-3 number, since 3×5012601140736³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5012601140736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223297065 + ... + 223319511.

Almost surely, 2^{5012601140736} is an apocalyptic number.

5012601140736 is a gapful number since it is divisible by the number (56) 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 5012601140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984738011392).

5012601140736 is an abundant number, since it is smaller than the sum of its proper divisors (12956874882048).

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

5012601140736 is a wasteful number, since it uses less digits than its factorization.

5012601140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22551 (or 22525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5012601140736 in words is "five trillion, twelve billion, six hundred one million, one hundred forty thousand, seven hundred thirty-six".