5145120960 has 448 divisors, whose sum is σ = 20014387200. Its totient is φ = 1093644288.

The previous prime is 5145120931. The next prime is 5145120971. The reversal of 5145120960 is 690215415.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7532779 + ... + 7533461.

Almost surely, 2^5145120960 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 5145120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007193600).

5145120960 is an abundant number, since it is smaller than the sum of its proper divisors (14869266240).

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

5145120960 is a wasteful number, since it uses less digits than its factorization.

5145120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5145120960 is about 71729.4985344245. The cubic root of 5145120960 is about 1726.3619808601.

The spelling of 5145120960 in words is "five billion, one hundred forty-five million, one hundred twenty thousand, nine hundred sixty".