5006128803844 has 225 divisors, whose sum is σ = 10998190998627. Its totient is φ = 1993718353536.

The previous prime is 5006128803811. The next prime is 5006128803883. The reversal of 5006128803844 is 4483088216005.

The square root of 5006128803844 is 2237438.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1553667517444 + 3452461286400 = 1246462^2 + 1858080^2 .

It is a super-2 number, since 2×5006128803844² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 63368718997 + ... + 63368719075.

Almost surely, 2^{5006128803844} is an apocalyptic number.

5006128803844 is the 2237438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006128803844

5006128803844 is an abundant number, since it is smaller than the sum of its proper divisors (5992062194783).

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

5006128803844 is an frugal number, since it uses more digits than its factorization.

5006128803844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 5006128803844 by its sum of digits (49), we get a square (245300311388356 = 15662066²).

5006128803844 divided by its sum of digits (49) gives a square (102165893956 = 319634²).

The spelling of 5006128803844 in words is "five trillion, six billion, one hundred twenty-eight million, eight hundred three thousand, eight hundred forty-four".