48077110800 has 180 divisors, whose sum is σ = 167866542064. Its totient is φ = 12741753600.

The previous prime is 48077110787. The next prime is 48077110867. The reversal of 48077110800 is 801177084.

48077110800 is a `hidden beast` number, since 480 + 7 + 71 + 108 + 0 + 0 = 666.

48077110800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×48077110800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 35 ways as a sum of consecutive naturals, for example, 545835 + ... + 627765.

Almost surely, 2^48077110800 is an apocalyptic number.

48077110800 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 48077110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83933271032).

48077110800 is an abundant number, since it is smaller than the sum of its proper divisors (119789431264).

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

48077110800 is a wasteful number, since it uses less digits than its factorization.

48077110800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82118 (or 82104 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 48077110800 its reverse (801177084), we get a palindrome (48878287884).

The spelling of 48077110800 in words is "forty-eight billion, seventy-seven million, one hundred ten thousand, eight hundred".