499951388160 has 1920 divisors, whose sum is σ = 2200629150720. Its totient is φ = 106348806144.

The previous prime is 499951388149. The next prime is 499951388161. The reversal of 499951388160 is 61883159994.

499951388160 is a `hidden beast` number, since 4 + 9 + 9 + 95 + 1 + 388 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×499951388160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499951388161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4672442827 + ... + 4672442933.

It is an arithmetic number, because the mean of its divisors is an integer number (1146161016).

Almost surely, 2^499951388160 is an apocalyptic number.

499951388160 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 499951388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100314575360).

499951388160 is an abundant number, since it is smaller than the sum of its proper divisors (1700677762560).

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

499951388160 is a wasteful number, since it uses less digits than its factorization.

499951388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 499951388160 in words is "four hundred ninety-nine billion, nine hundred fifty-one million, three hundred eighty-eight thousand, one hundred sixty".