515981150920 has 256 divisors, whose sum is σ = 1322697600000. Its totient is φ = 180249108480.

The previous prime is 515981150917. The next prime is 515981150941. The reversal of 515981150920 is 29051189515.

It is a super-3 number, since 3×515981150920³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42465006 + ... + 42477154.

It is an arithmetic number, because the mean of its divisors is an integer number (5166787500).

Almost surely, 2^515981150920 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 515981150920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661348800000).

515981150920 is an abundant number, since it is smaller than the sum of its proper divisors (806716449080).

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

515981150920 is a wasteful number, since it uses less digits than its factorization.

515981150920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 46.

The spelling of 515981150920 in words is "five hundred fifteen billion, nine hundred eighty-one million, one hundred fifty thousand, nine hundred twenty".