48733977600 has 1584 divisors, whose sum is σ = 226179023616. Its totient is φ = 9732096000.

The previous prime is 48733977577. The next prime is 48733977613. The reversal of 48733977600 is 677933784.

It is a happy number.

48733977600 is a `hidden beast` number, since 487 + 3 + 3 + 97 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

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, 727372767 + ... + 727372833.

Almost surely, 2^48733977600 is an apocalyptic number.

48733977600 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 48733977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113089511808).

48733977600 is an abundant number, since it is smaller than the sum of its proper divisors (177445046016).

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

48733977600 is a wasteful number, since it uses less digits than its factorization.

48733977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 48733977600 in words is "forty-eight billion, seven hundred thirty-three million, nine hundred seventy-seven thousand, six hundred".