48391616160 has 240 divisors, whose sum is σ = 172843536096. Its totient is φ = 12748672512.

The previous prime is 48391616159. The next prime is 48391616179. The reversal of 48391616160 is 6161619384.

48391616160 is a `hidden beast` number, since 48 + 391 + 6 + 161 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1053187 + ... + 1098173.

Almost surely, 2^48391616160 is an apocalyptic number.

48391616160 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 48391616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86421768048).

48391616160 is an abundant number, since it is smaller than the sum of its proper divisors (124451919936).

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

48391616160 is a wasteful number, since it uses less digits than its factorization.

48391616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45097 (or 45080 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 48391616160 in words is "forty-eight billion, three hundred ninety-one million, six hundred sixteen thousand, one hundred sixty".