513798310080 has 1792 divisors, whose sum is σ = 2212116480000. Its totient is φ = 110799912960.

The previous prime is 513798310079. The next prime is 513798310111. The reversal of 513798310080 is 80013897315.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3696390651 + ... + 3696390789.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440000).

Almost surely, 2^513798310080 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 513798310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240000).

513798310080 is an abundant number, since it is smaller than the sum of its proper divisors (1698318169920).

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

513798310080 is a wasteful number, since it uses less digits than its factorization.

513798310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 513798310080 in words is "five hundred thirteen billion, seven hundred ninety-eight million, three hundred ten thousand, eighty".