5185932960 has 768 divisors, whose sum is σ = 20483850240. Its totient is φ = 1088225280.

The previous prime is 5185932919. The next prime is 5185932989. The reversal of 5185932960 is 692395815.

It is a happy number.

It is a super-2 number, since 2×5185932960² = 53787801331228723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 62481079 + ... + 62481161.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2^5185932960 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 5185932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241925120).

5185932960 is an abundant number, since it is smaller than the sum of its proper divisors (15297917280).

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

5185932960 is a wasteful number, since it uses less digits than its factorization.

5185932960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5185932960 is about 72013.4220822757. The cubic root of 5185932960 is about 1730.9145664911.

The spelling of 5185932960 in words is "five billion, one hundred eighty-five million, nine hundred thirty-two thousand, nine hundred sixty".