505199998911888 has 720 divisors, whose sum is σ = 1677546270167040. Its totient is φ = 139027196689920.

The previous prime is 505199998911877. The next prime is 505199998911953. The reversal of 505199998911888 is 888119899991505.

505199998911888 is a `hidden beast` number, since 5 + 0 + 519 + 9 + 9 + 9 + 8 + 9 + 1 + 1 + 8 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505199998911798 and 505199998911807.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222849579331 + ... + 222849581597.

It is an arithmetic number, because the mean of its divisors is an integer number (2329925375232).

Almost surely, 2^{505199998911888} 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 505199998911888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838773135083520).

505199998911888 is an abundant number, since it is smaller than the sum of its proper divisors (1172346271255152).

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

505199998911888 is a wasteful number, since it uses less digits than its factorization.

505199998911888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 6046617600, while the sum is 90.

The spelling of 505199998911888 in words is "five hundred five trillion, one hundred ninety-nine billion, nine hundred ninety-eight million, nine hundred eleven thousand, eight hundred eighty-eight".