48078529105920 has 208 divisors, whose sum is σ = 154081957311360. Its totient is φ = 12800151519232.

The previous prime is 48078529105907. The next prime is 48078529105927. The reversal of 48078529105920 is 2950192587084.

It is a super-3 number, since 3×48078529105920³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (48078529105927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37274341 + ... + 38542619.

It is an arithmetic number, because the mean of its divisors is an integer number (740778640920).

Almost surely, 2^{48078529105920} is an apocalyptic number.

48078529105920 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 48078529105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77040978655680).

48078529105920 is an abundant number, since it is smaller than the sum of its proper divisors (106003428205440).

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

48078529105920 is a wasteful number, since it uses less digits than its factorization.

48078529105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268928 (or 1268906 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 48078529105920 in words is "forty-eight trillion, seventy-eight billion, five hundred twenty-nine million, one hundred five thousand, nine hundred twenty".