5001105051012 has 288 divisors, whose sum is σ = 14357197209600. Its totient is φ = 1348212273408.

The previous prime is 5001105050987. The next prime is 5001105051073. The reversal of 5001105051012 is 2101505011005.

It is a super-2 number, since 2×5001105051012² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 5001105051012.

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 95 ways as a sum of consecutive naturals, for example, 2204099814 + ... + 2204102082.

It is an arithmetic number, because the mean of its divisors is an integer number (49851379200).

Almost surely, 2^{5001105051012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001105051012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178598604800).

5001105051012 is an abundant number, since it is smaller than the sum of its proper divisors (9356092158588).

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

5001105051012 is a wasteful number, since it uses less digits than its factorization.

5001105051012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

The spelling of 5001105051012 in words is "five trillion, one billion, one hundred five million, fifty-one thousand, twelve".