5006554138404 has 768 divisors, whose sum is σ = 17536451788800. Its totient is φ = 1197274079232.

The previous prime is 5006554138373. The next prime is 5006554138477. The reversal of 5006554138404 is 4048314556005.

5006554138404 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 554 + 13 + 84 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5006554138404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3115465369 + ... + 3115466975.

It is an arithmetic number, because the mean of its divisors is an integer number (22833921600).

Almost surely, 2^{5006554138404} is an apocalyptic number.

5006554138404 is a gapful number since it is divisible by the number (54) 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 5006554138404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768225894400).

5006554138404 is an abundant number, since it is smaller than the sum of its proper divisors (12529897650396).

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

5006554138404 is a wasteful number, since it uses less digits than its factorization.

5006554138404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5006554138404 in words is "five trillion, six billion, five hundred fifty-four million, one hundred thirty-eight thousand, four hundred four".