5105374560 has 288 divisors, whose sum is σ = 20468736288. Its totient is φ = 1142415360.

The previous prime is 5105374559. The next prime is 5105374583. The reversal of 5105374560 is 654735015.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193524 + ... + 218316.

It is an arithmetic number, because the mean of its divisors is an integer number (71072001).

Almost surely, 2^5105374560 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 5105374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234368144).

5105374560 is an abundant number, since it is smaller than the sum of its proper divisors (15363361728).

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

5105374560 is a wasteful number, since it uses less digits than its factorization.

5105374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24838 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5105374560 is about 71451.9038234811. The cubic root of 5105374560 is about 1721.9050642300.

The spelling of 5105374560 in words is "five billion, one hundred five million, three hundred seventy-four thousand, five hundred sixty".