49309260800 has 132 divisors (see below), whose sum is σ = 122545620120. Its totient is φ = 19672350720.

The previous prime is 49309260787. The next prime is 49309260809. The reversal of 49309260800 is 806290394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49309260809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10724102 + ... + 10728698.

It is an arithmetic number, because the mean of its divisors is an integer number (928375910).

Almost surely, 2^49309260800 is an apocalyptic number.

49309260800 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 49309260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61272810060).

49309260800 is an abundant number, since it is smaller than the sum of its proper divisors (73236359320).

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

49309260800 is a wasteful number, since it uses less digits than its factorization.

49309260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 49309260800 in words is "forty-nine billion, three hundred nine million, two hundred sixty thousand, eight hundred".