48512267760 has 320 divisors, whose sum is σ = 166617907200. Its totient is φ = 11578659840.

The previous prime is 48512267747. The next prime is 48512267789. The reversal of 48512267760 is 6776221584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56213089 + ... + 56213951.

It is an arithmetic number, because the mean of its divisors is an integer number (520680960).

Almost surely, 2^48512267760 is an apocalyptic number.

48512267760 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 48512267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83308953600).

48512267760 is an abundant number, since it is smaller than the sum of its proper divisors (118105639440).

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

48512267760 is a wasteful number, since it uses less digits than its factorization.

48512267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 48512267760 in words is "forty-eight billion, five hundred twelve million, two hundred sixty-seven thousand, seven hundred sixty".