48683980800 has 1728 divisors, whose sum is σ = 227712925440. Its totient is φ = 10032906240.

The previous prime is 48683980789. The next prime is 48683980859. The reversal of 48683980800 is 808938684.

48683980800 is a `hidden beast` number, since 486 + 8 + 3 + 9 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 1132185579 + ... + 1132185621.

Almost surely, 2^48683980800 is an apocalyptic number.

48683980800 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 48683980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113856462720).

48683980800 is an abundant number, since it is smaller than the sum of its proper divisors (179028944640).

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

48683980800 is a wasteful number, since it uses less digits than its factorization.

48683980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 48683980800 in words is "forty-eight billion, six hundred eighty-three million, nine hundred eighty thousand, eight hundred".