48121032960 has 1728 divisors, whose sum is σ = 232690268160. Its totient is φ = 9143746560.

The previous prime is 48121032959. The next prime is 48121032977. The reversal of 48121032960 is 6923012184.

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 (36).

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, 449729227 + ... + 449729333.

It is an arithmetic number, because the mean of its divisors is an integer number (134658720).

Almost surely, 2^48121032960 is an apocalyptic number.

48121032960 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 48121032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116345134080).

48121032960 is an abundant number, since it is smaller than the sum of its proper divisors (184569235200).

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

48121032960 is a wasteful number, since it uses less digits than its factorization.

48121032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 48121032960 in words is "forty-eight billion, one hundred twenty-one million, thirty-two thousand, nine hundred sixty".