48711168000 has 936 divisors, whose sum is σ = 197940822768. Its totient is φ = 11427840000.

The previous prime is 48711167993. The next prime is 48711168007. The reversal of 48711168000 is 86111784.

48711168000 is a `hidden beast` number, since 487 + 11 + 168 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48711167993) and next prime (48711168007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48711168007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1571327985 + ... + 1571328015.

It is an arithmetic number, because the mean of its divisors is an integer number (211475238).

Almost surely, 2^48711168000 is an apocalyptic number.

48711168000 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 48711168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98970411384).

48711168000 is an abundant number, since it is smaller than the sum of its proper divisors (149229654768).

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

48711168000 is a wasteful number, since it uses less digits than its factorization.

48711168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 48711168000 its reverse (86111784), we get a palindrome (48797279784).

The spelling of 48711168000 in words is "forty-eight billion, seven hundred eleven million, one hundred sixty-eight thousand".