499905561600 has 495 divisors, whose sum is σ = 1854869241181. Its totient is φ = 133036646400.

The previous prime is 499905561593. The next prime is 499905561611. The reversal of 499905561600 is 6165509994.

The square root of 499905561600 is 707040.

It is a perfect power (a square), and thus also a powerful number.

499905561600 is a `hidden beast` number, since 499 + 90 + 5 + 5 + 6 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179966002176 + 319939559424 = 424224^2 + 565632^2 .

It is a super-2 number, since 2×499905561600² (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 Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1018137355 + ... + 1018137845.

Almost surely, 2^499905561600 is an apocalyptic number.

499905561600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

499905561600 is the 707040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499905561600

499905561600 is an abundant number, since it is smaller than the sum of its proper divisors (1354963679581).

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

499905561600 is an frugal number, since it uses more digits than its factorization.

499905561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 499905561600 in words is "four hundred ninety-nine billion, nine hundred five million, five hundred sixty-one thousand, six hundred".