48188160 has 216 divisors, whose sum is σ = 172186560. Its totient is φ = 12435456.

The previous prime is 48188143. The next prime is 48188263. The reversal of 48188160 is 6188184.

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 23 ways as a sum of consecutive naturals, for example, 541396 + ... + 541484.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 2^48188160 is an apocalyptic number.

48188160 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 48188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

48188160 is an abundant number, since it is smaller than the sum of its proper divisors (123998400).

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

48188160 is a wasteful number, since it uses less digits than its factorization.

48188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48188160 is about 6941.7692269334. The cubic root of 48188160 is about 363.8983735936.

The spelling of 48188160 in words is "forty-eight million, one hundred eighty-eight thousand, one hundred sixty".