498993091200 has 384 divisors, whose sum is σ = 1870730265600. Its totient is φ = 129818419200.

The previous prime is 498993091189. The next prime is 498993091217. The reversal of 498993091200 is 2190399894.

498993091200 is a `hidden beast` number, since 49 + 8 + 99 + 309 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471969 + ... + 3612831.

It is an arithmetic number, because the mean of its divisors is an integer number (4871693400).

Almost surely, 2^498993091200 is an apocalyptic number.

498993091200 is a gapful number since it is divisible by the number (40) 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 498993091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935365132800).

498993091200 is an abundant number, since it is smaller than the sum of its proper divisors (1371737174400).

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

498993091200 is a wasteful number, since it uses less digits than its factorization.

498993091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140937 (or 140914 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 498993091200 in words is "four hundred ninety-eight billion, nine hundred ninety-three million, ninety-one thousand, two hundred".