5104280586240 has 1536 divisors, whose sum is σ = 21146962636800. Its totient is φ = 1155394437120.

The previous prime is 5104280586239. The next prime is 5104280586259. The reversal of 5104280586240 is 426850824015.

5104280586240 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 28 + 0 + 586 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3007825072 + ... + 3007826768.

It is an arithmetic number, because the mean of its divisors is an integer number (13767553800).

Almost surely, 2^{5104280586240} 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 5104280586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573481318400).

5104280586240 is an abundant number, since it is smaller than the sum of its proper divisors (16042682050560).

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

5104280586240 is a wasteful number, since it uses less digits than its factorization.

5104280586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 5104280586240 in words is "five trillion, one hundred four billion, two hundred eighty million, five hundred eighty-six thousand, two hundred forty".