49589452800 has 816 divisors, whose sum is σ = 195033648000. Its totient is φ = 12315525120.

The previous prime is 49589452793. The next prime is 49589452817. The reversal of 49589452800 is 825498594.

It is a happy number.

49589452800 is a `hidden beast` number, since 4 + 9 + 589 + 4 + 52 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×49589452800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840499171 + ... + 840499229.

Almost surely, 2^49589452800 is an apocalyptic number.

49589452800 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 49589452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97516824000).

49589452800 is an abundant number, since it is smaller than the sum of its proper divisors (145444195200).

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

49589452800 is an equidigital number, since it uses as much as digits as its factorization.

49589452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 49589452800 in words is "forty-nine billion, five hundred eighty-nine million, four hundred fifty-two thousand, eight hundred".