49358836800 has 756 divisors, whose sum is σ = 219814001316. Its totient is φ = 10412236800.

The previous prime is 49358836781. The next prime is 49358836801. The reversal of 49358836800 is 863885394.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8444874816 + 40913961984 = 91896^2 + 202272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49358836801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 9170110 + ... + 9175490.

It is an arithmetic number, because the mean of its divisors is an integer number (290759261).

Almost surely, 2^49358836800 is an apocalyptic number.

49358836800 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 49358836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109907000658).

49358836800 is an abundant number, since it is smaller than the sum of its proper divisors (170455164516).

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

49358836800 is a wasteful number, since it uses less digits than its factorization.

49358836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49358836800 in words is "forty-nine billion, three hundred fifty-eight million, eight hundred thirty-six thousand, eight hundred".