48052032960 has 224 divisors, whose sum is σ = 156363863040. Its totient is φ = 12496785408.

The previous prime is 48052032901. The next prime is 48052032967. The reversal of 48052032960 is 6923025084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48052032967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13850106 + ... + 13853574.

It is an arithmetic number, because the mean of its divisors is an integer number (698052960).

Almost surely, 2^48052032960 is an apocalyptic number.

48052032960 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 48052032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78181931520).

48052032960 is an abundant number, since it is smaller than the sum of its proper divisors (108311830080).

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

48052032960 is a wasteful number, since it uses less digits than its factorization.

48052032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 48052032960 in words is "forty-eight billion, fifty-two million, thirty-two thousand, nine hundred sixty".