5145505560 has 384 divisors, whose sum is σ = 19130791680. Its totient is φ = 1235824128.

The previous prime is 5145505543. The next prime is 5145505579. The reversal of 5145505560 is 655055415.

5145505560 is a `hidden beast` number, since 5 + 1 + 45 + 50 + 5 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5433007 + ... + 5433953.

It is an arithmetic number, because the mean of its divisors is an integer number (49819770).

Almost surely, 2^5145505560 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 5145505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565395840).

5145505560 is an abundant number, since it is smaller than the sum of its proper divisors (13985286120).

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

5145505560 is a wasteful number, since it uses less digits than its factorization.

5145505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 5145505560 is about 71732.1793897272. The cubic root of 5145505560 is about 1726.4049952214.

The spelling of 5145505560 in words is "five billion, one hundred forty-five million, five hundred five thousand, five hundred sixty".