49977928660800 has 336 divisors, whose sum is σ = 187671963300992. Its totient is φ = 11406547353600.

The previous prime is 49977928660787. The next prime is 49977928660811. The reversal of 49977928660800 is 806682977994.

49977928660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×49977928660800³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21507720 + ... + 23717880.

Almost surely, 2^{49977928660800} is an apocalyptic number.

49977928660800 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 49977928660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93835981650496).

49977928660800 is an abundant number, since it is smaller than the sum of its proper divisors (137694034640192).

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

49977928660800 is a wasteful number, since it uses less digits than its factorization.

49977928660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210866 (or 2210851 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 75.

The spelling of 49977928660800 in words is "forty-nine trillion, nine hundred seventy-seven billion, nine hundred twenty-eight million, six hundred sixty thousand, eight hundred".