48536804160 has 1008 divisors, whose sum is σ = 198307025280. Its totient is φ = 10799308800.

The previous prime is 48536804051. The next prime is 48536804161. The reversal of 48536804160 is 6140863584.

48536804160 is a `hidden beast` number, since 485 + 3 + 6 + 8 + 0 + 4 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48536804161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 683616925 + ... + 683616995.

It is an arithmetic number, because the mean of its divisors is an integer number (196733160).

Almost surely, 2^48536804160 is an apocalyptic number.

48536804160 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 48536804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99153512640).

48536804160 is an abundant number, since it is smaller than the sum of its proper divisors (149770221120).

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

48536804160 is a wasteful number, since it uses less digits than its factorization.

48536804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48536804160 in words is "forty-eight billion, five hundred thirty-six million, eight hundred four thousand, one hundred sixty".