499048905600 has 1536 divisors, whose sum is σ = 2160561715200. Its totient is φ = 111526502400.

The previous prime is 499048905577. The next prime is 499048905617. The reversal of 499048905600 is 6509840994.

499048905600 is a `hidden beast` number, since 499 + 0 + 4 + 8 + 90 + 5 + 60 + 0 = 666.

It is a super-2 number, since 2×499048905600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2988316717 + ... + 2988316883.

It is an arithmetic number, because the mean of its divisors is an integer number (1406615700).

Almost surely, 2^499048905600 is an apocalyptic number.

499048905600 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 499048905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080280857600).

499048905600 is an abundant number, since it is smaller than the sum of its proper divisors (1661512809600).

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

499048905600 is an equidigital number, since it uses as much as digits as its factorization.

499048905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 499048905600 in words is "four hundred ninety-nine billion, forty-eight million, nine hundred five thousand, six hundred".