496190016000 has 2560 divisors, whose sum is σ = 2353220812800. Its totient is φ = 100329062400.

The previous prime is 496190015999. The next prime is 496190016029. The reversal of 496190016000 is 610091694.

496190016000 is a `hidden beast` number, since 49 + 6 + 1 + 9 + 0 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 3907007937 + ... + 3907008063.

It is an arithmetic number, because the mean of its divisors is an integer number (919226880).

Almost surely, 2^496190016000 is an apocalyptic number.

496190016000 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 496190016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176610406400).

496190016000 is an abundant number, since it is smaller than the sum of its proper divisors (1857030796800).

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

496190016000 is a wasteful number, since it uses less digits than its factorization.

496190016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 496190016000 in words is "four hundred ninety-six billion, one hundred ninety million, sixteen thousand".