510048000000 has 2016 divisors, whose sum is σ = 2395544336640. Its totient is φ = 101376000000.

The previous prime is 510047999987. The next prime is 510048000067. The reversal of 510048000000 is 840015.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22175999989 + ... + 22176000011.

It is an arithmetic number, because the mean of its divisors is an integer number (1188266040).

Almost surely, 2^510048000000 is an apocalyptic number.

510048000000 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 510048000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197772168320).

510048000000 is an abundant number, since it is smaller than the sum of its proper divisors (1885496336640).

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

510048000000 is an equidigital number, since it uses as much as digits as its factorization.

510048000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 510048000000 its reverse (840015), we get a palindrome (510048840015).

The spelling of 510048000000 in words is "five hundred ten billion, forty-eight million", and thus it is an aban number.