495086929920 has 720 divisors, whose sum is σ = 1950928319340. Its totient is φ = 119996743680.

The previous prime is 495086929913. The next prime is 495086929933. The reversal of 495086929920 is 29929680594.

495086929920 is a `hidden beast` number, since 49 + 508 + 69 + 2 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481347339264 + 13739590656 = 693792^2 + 117216^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×495086929920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100359774 + ... + 100364706.

Almost surely, 2^495086929920 is an apocalyptic number.

495086929920 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 495086929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975464159670).

495086929920 is an abundant number, since it is smaller than the sum of its proper divisors (1455841389420).

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

495086929920 is a wasteful number, since it uses less digits than its factorization.

495086929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 495086929920 in words is "four hundred ninety-five billion, eighty-six million, nine hundred twenty-nine thousand, nine hundred twenty".