518996172800 has 336 divisors, whose sum is σ = 1480583873472. Its totient is φ = 176770252800.

The previous prime is 518996172743. The next prime is 518996172833. The reversal of 518996172800 is 8271699815.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233675690 + ... + 233677910.

Almost surely, 2^518996172800 is an apocalyptic number.

518996172800 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 518996172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740291936736).

518996172800 is an abundant number, since it is smaller than the sum of its proper divisors (961587700672).

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

518996172800 is a wasteful number, since it uses less digits than its factorization.

518996172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 518996172800 in words is "five hundred eighteen billion, nine hundred ninety-six million, one hundred seventy-two thousand, eight hundred".