48078912960 has 896 divisors, whose sum is σ = 196140994560. Its totient is φ = 10992402432.

The previous prime is 48078912949. The next prime is 48078913007. The reversal of 48078912960 is 6921987084.

48078912960 is a `hidden beast` number, since 480 + 7 + 89 + 1 + 29 + 60 = 666.

It is a super-3 number, since 3×48078912960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48078912897 and 48078912906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95584069 + ... + 95584571.

It is an arithmetic number, because the mean of its divisors is an integer number (218907360).

Almost surely, 2^48078912960 is an apocalyptic number.

48078912960 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 48078912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98070497280).

48078912960 is an abundant number, since it is smaller than the sum of its proper divisors (148062081600).

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

48078912960 is a wasteful number, since it uses less digits than its factorization.

48078912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 48078912960 in words is "forty-eight billion, seventy-eight million, nine hundred twelve thousand, nine hundred sixty".