48380999904000 has 1728 divisors, whose sum is σ = 189315564197760. Its totient is φ = 11822107852800.

The previous prime is 48380999903939. The next prime is 48380999904001. The reversal of 48380999904000 is 40999908384.

48380999904000 is a `hidden beast` number, since 48 + 380 + 9 + 99 + 90 + 40 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (48380999904001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39885407394 + ... + 39885408606.

It is an arithmetic number, because the mean of its divisors is an integer number (109557618170).

Almost surely, 2^{48380999904000} is an apocalyptic number.

48380999904000 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 48380999904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94657782098880).

48380999904000 is an abundant number, since it is smaller than the sum of its proper divisors (140934564293760).

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

48380999904000 is a wasteful number, since it uses less digits than its factorization.

48380999904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 48380999904000 in words is "forty-eight trillion, three hundred eighty billion, nine hundred ninety-nine million, nine hundred four thousand".