48382981920 has 1152 divisors, whose sum is σ = 221353606656. Its totient is φ = 9332195328.

The previous prime is 48382981897. The next prime is 48382981991. The reversal of 48382981920 is 2918928384.

48382981920 is a `hidden beast` number, since 483 + 82 + 9 + 81 + 9 + 2 + 0 = 666.

48382981920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82423867 + ... + 82424453.

It is an arithmetic number, because the mean of its divisors is an integer number (192147228).

Almost surely, 2^48382981920 is an apocalyptic number.

48382981920 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 48382981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110676803328).

48382981920 is an abundant number, since it is smaller than the sum of its proper divisors (172970624736).

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

48382981920 is a wasteful number, since it uses less digits than its factorization.

48382981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 48382981920 in words is "forty-eight billion, three hundred eighty-two million, nine hundred eighty-one thousand, nine hundred twenty".