48575116800 has 1440 divisors, whose sum is σ = 217203098112. Its totient is φ = 10510663680.

The previous prime is 48575116789. The next prime is 48575116801. The reversal of 48575116800 is 861157584.

48575116800 is a `hidden beast` number, since 4 + 8 + 57 + 511 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (48575116801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 500774352 + ... + 500774448.

Almost surely, 2^48575116800 is an apocalyptic number.

48575116800 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 48575116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108601549056).

48575116800 is an abundant number, since it is smaller than the sum of its proper divisors (168627981312).

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

48575116800 is an equidigital number, since it uses as much as digits as its factorization.

48575116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 48575116800 in words is "forty-eight billion, five hundred seventy-five million, one hundred sixteen thousand, eight hundred".