48335322309120 has 2560 divisors, whose sum is σ = 219935637504000. Its totient is φ = 9770537779200.

The previous prime is 48335322309107. The next prime is 48335322309137. The reversal of 48335322309120 is 2190322353384.

48335322309120 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 5 + 322 + 309 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49778910235 + ... + 49778911205.

It is an arithmetic number, because the mean of its divisors is an integer number (85912358400).

Almost surely, 2^{48335322309120} is an apocalyptic number.

48335322309120 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 48335322309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109967818752000).

48335322309120 is an abundant number, since it is smaller than the sum of its proper divisors (171600315194880).

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

48335322309120 is a wasteful number, since it uses less digits than its factorization.

48335322309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 48335322309120 in words is "forty-eight trillion, three hundred thirty-five billion, three hundred twenty-two million, three hundred nine thousand, one hundred twenty".