49996267200 has 336 divisors, whose sum is σ = 198825429120. Its totient is φ = 12120192000.

The previous prime is 49996267199. The next prime is 49996267207. The reversal of 49996267200 is 276269994.

49996267200 is a `hidden beast` number, since 4 + 9 + 9 + 9 + 626 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49996267207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422595 + ... + 527805.

Almost surely, 2^49996267200 is an apocalyptic number.

49996267200 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 49996267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99412714560).

49996267200 is an abundant number, since it is smaller than the sum of its proper divisors (148829161920).

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

49996267200 is a wasteful number, since it uses less digits than its factorization.

49996267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105253 (or 105232 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 49996267200 in words is "forty-nine billion, nine hundred ninety-six million, two hundred sixty-seven thousand, two hundred".