49791148800 has 216 divisors, whose sum is σ = 164564165136. Its totient is φ = 13258014720.

The previous prime is 49791148793. The next prime is 49791148807. The reversal of 49791148800 is 884119794.

It is an interprime number because it is at equal distance from previous prime (49791148793) and next prime (49791148807).

It is not an unprimeable number, because it can be changed into a prime (49791148807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16836922 + ... + 16839878.

Almost surely, 2^49791148800 is an apocalyptic number.

49791148800 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 49791148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82282082568).

49791148800 is an abundant number, since it is smaller than the sum of its proper divisors (114773016336).

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

49791148800 is a wasteful number, since it uses less digits than its factorization.

49791148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 49791148800 in words is "forty-nine billion, seven hundred ninety-one million, one hundred forty-eight thousand, eight hundred".