5338567872090 has 384 divisors, whose sum is σ = 14772576559104. Its totient is φ = 1335954816000.

The previous prime is 5338567872067. The next prime is 5338567872103. The reversal of 5338567872090 is 902787658335.

5338567872090 is a `hidden beast` number, since 533 + 8 + 5 + 6 + 7 + 8 + 7 + 2 + 0 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6045942789 + ... + 6045943671.

It is an arithmetic number, because the mean of its divisors is an integer number (38470251456).

Almost surely, 2^{5338567872090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338567872090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386288279552).

5338567872090 is an abundant number, since it is smaller than the sum of its proper divisors (9434008687014).

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

5338567872090 is a wasteful number, since it uses less digits than its factorization.

5338567872090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5338567872090 in words is "five trillion, three hundred thirty-eight billion, five hundred sixty-seven million, eight hundred seventy-two thousand, ninety".