49993261300800 has 1008 divisors, whose sum is σ = 187832085185472. Its totient is φ = 13076221132800.

The previous prime is 49993261300771. The next prime is 49993261300831. The reversal of 49993261300800 is 800316239994.

49993261300800 is a `hidden beast` number, since 4 + 9 + 9 + 9 + 326 + 1 + 300 + 8 + 0 + 0 = 666.

49993261300800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4261630935 + ... + 4261642665.

Almost surely, 2^{49993261300800} is an apocalyptic number.

49993261300800 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 49993261300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93916042592736).

49993261300800 is an abundant number, since it is smaller than the sum of its proper divisors (137838823884672).

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

49993261300800 is a wasteful number, since it uses less digits than its factorization.

49993261300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 49993261300800 in words is "forty-nine trillion, nine hundred ninety-three billion, two hundred sixty-one million, three hundred thousand, eight hundred".