5185150920 has 288 divisors, whose sum is σ = 18259862400. Its totient is φ = 1271966976.

The previous prime is 5185150877. The next prime is 5185150937. The reversal of 5185150920 is 290515815.

It is a happy number.

5185150920 is a `hidden beast` number, since 51 + 8 + 515 + 0 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40827897 + ... + 40828023.

It is an arithmetic number, because the mean of its divisors is an integer number (63402300).

Almost surely, 2^5185150920 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 5185150920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129931200).

5185150920 is an abundant number, since it is smaller than the sum of its proper divisors (13074711480).

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

5185150920 is a wasteful number, since it uses less digits than its factorization.

5185150920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 5185150920 is about 72007.9920564377. The cubic root of 5185150920 is about 1730.8275546659.

The spelling of 5185150920 in words is "five billion, one hundred eighty-five million, one hundred fifty thousand, nine hundred twenty".