49587724800 has 240 divisors, whose sum is σ = 182012323680. Its totient is φ = 13223301120.

The previous prime is 49587724793. The next prime is 49587724861. The reversal of 49587724800 is 842778594.

It is a happy number.

49587724800 is a `hidden beast` number, since 4 + 95 + 8 + 7 + 72 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273859 + ... + 417341.

It is an arithmetic number, because the mean of its divisors is an integer number (758384682).

Almost surely, 2^49587724800 is an apocalyptic number.

49587724800 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 49587724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91006161840).

49587724800 is an abundant number, since it is smaller than the sum of its proper divisors (132424598880).

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

49587724800 is a wasteful number, since it uses less digits than its factorization.

49587724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143520 (or 143493 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 49587724800 in words is "forty-nine billion, five hundred eighty-seven million, seven hundred twenty-four thousand, eight hundred".