516154002432 has 176 divisors, whose sum is σ = 1449134511360. Its totient is φ = 162884763648.

The previous prime is 516154002383. The next prime is 516154002467. The reversal of 516154002432 is 234200451615.

It is a junction number, because it is equal to n+sod(n) for n = 516154002393 and 516154002402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146093338 + ... + 146096870.

Almost surely, 2^516154002432 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 516154002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724567255680).

516154002432 is an abundant number, since it is smaller than the sum of its proper divisors (932980508928).

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

516154002432 is a wasteful number, since it uses less digits than its factorization.

516154002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 516154002432 in words is "five hundred sixteen billion, one hundred fifty-four million, two thousand, four hundred thirty-two".