518676480000 has 1360 divisors, whose sum is σ = 2227493973760. Its totient is φ = 116785152000.

The previous prime is 518676479983. The next prime is 518676480013. The reversal of 518676480000 is 84676815.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7741439967 + ... + 7741440033.

It is an arithmetic number, because the mean of its divisors is an integer number (1637863216).

Almost surely, 2^518676480000 is an apocalyptic number.

518676480000 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 518676480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113746986880).

518676480000 is an abundant number, since it is smaller than the sum of its proper divisors (1708817493760).

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

518676480000 is an frugal number, since it uses more digits than its factorization.

518676480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 518676480000 in words is "five hundred eighteen billion, six hundred seventy-six million, four hundred eighty thousand".