49365583200 has 432 divisors, whose sum is σ = 179388518400. Its totient is φ = 12768537600.

The previous prime is 49365583171. The next prime is 49365583213. The reversal of 49365583200 is 238556394.

49365583200 is a `hidden beast` number, since 4 + 9 + 3 + 65 + 583 + 2 + 0 + 0 = 666.

49365583200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49365583200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33558465 + ... + 33559935.

It is an arithmetic number, because the mean of its divisors is an integer number (415251200).

Almost surely, 2^49365583200 is an apocalyptic number.

49365583200 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 49365583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89694259200).

49365583200 is an abundant number, since it is smaller than the sum of its proper divisors (130022935200).

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

49365583200 is a wasteful number, since it uses less digits than its factorization.

49365583200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 49365583200 in words is "forty-nine billion, three hundred sixty-five million, five hundred eighty-three thousand, two hundred".