5104090506240 has 1056 divisors, whose sum is σ = 20076070734720. Its totient is φ = 1233145036800.

The previous prime is 5104090506223. The next prime is 5104090506247. The reversal of 5104090506240 is 426050904015.

5104090506240 is a `hidden beast` number, since 5 + 1 + 0 + 40 + 90 + 506 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a junction number, because it is equal to n+sod(n) for n = 5104090506195 and 5104090506204.

It is not an unprimeable number, because it can be changed into a prime (5104090506247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6309134956 + ... + 6309135764.

It is an arithmetic number, because the mean of its divisors is an integer number (19011430620).

Almost surely, 2^{5104090506240} 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 5104090506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038035367360).

5104090506240 is an abundant number, since it is smaller than the sum of its proper divisors (14971980228480).

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

5104090506240 is a wasteful number, since it uses less digits than its factorization.

5104090506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5104090506240 in words is "five trillion, one hundred four billion, ninety million, five hundred six thousand, two hundred forty".