48989581240320 has 576 divisors, whose sum is σ = 205459107759360. Its totient is φ = 10538932764672.

The previous prime is 48989581240319. The next prime is 48989581240351. The reversal of 48989581240320 is 2304218598984.

48989581240320 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 9 + 581 + 2 + 40 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733549 + ... + 13200531.

It is an arithmetic number, because the mean of its divisors is an integer number (356699839860).

Almost surely, 2^{48989581240320} is an apocalyptic number.

48989581240320 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 48989581240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102729553879680).

48989581240320 is an abundant number, since it is smaller than the sum of its proper divisors (156469526519040).

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

48989581240320 is a wasteful number, since it uses less digits than its factorization.

48989581240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467040 (or 4467017 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48989581240320 in words is "forty-eight trillion, nine hundred eighty-nine billion, five hundred eighty-one million, two hundred forty thousand, three hundred twenty".