512402005500 has 384 divisors, whose sum is σ = 1863330932736. Its totient is φ = 106299648000.

The previous prime is 512402005477. The next prime is 512402005589. The reversal of 512402005500 is 5500204215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78190224 + ... + 78196776.

It is an arithmetic number, because the mean of its divisors is an integer number (4852424304).

Almost surely, 2^512402005500 is an apocalyptic number.

512402005500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512402005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931665466368).

512402005500 is an abundant number, since it is smaller than the sum of its proper divisors (1350928927236).

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

512402005500 is a wasteful number, since it uses less digits than its factorization.

512402005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 512402005500 its reverse (5500204215), we get a palindrome (517902209715).

The spelling of 512402005500 in words is "five hundred twelve billion, four hundred two million, five thousand, five hundred".