518873040000 has 2240 divisors, whose sum is σ = 2340456814080. Its totient is φ = 111974400000.

The previous prime is 518873039981. The next prime is 518873040043. The reversal of 518873040000 is 40378815.

518873040000 is a `hidden beast` number, since 5 + 188 + 73 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 12655439980 + ... + 12655440020.

It is an arithmetic number, because the mean of its divisors is an integer number (1044846792).

Almost surely, 2^518873040000 is an apocalyptic number.

518873040000 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 518873040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170228407040).

518873040000 is an abundant number, since it is smaller than the sum of its proper divisors (1821583774080).

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

518873040000 is an frugal number, since it uses more digits than its factorization.

518873040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 518873040000 in words is "five hundred eighteen billion, eight hundred seventy-three million, forty thousand".