48761118720 has 784 divisors, whose sum is σ = 185655825792. Its totient is φ = 12262440960.

The previous prime is 48761118719. The next prime is 48761118733. The reversal of 48761118720 is 2781116784.

48761118720 is a `hidden beast` number, since 4 + 8 + 7 + 611 + 1 + 8 + 7 + 20 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 686776285 + ... + 686776355.

Almost surely, 2^48761118720 is an apocalyptic number.

48761118720 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 48761118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92827912896).

48761118720 is an abundant number, since it is smaller than the sum of its proper divisors (136894707072).

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

48761118720 is an frugal number, since it uses more digits than its factorization.

48761118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 48761118720 in words is "forty-eight billion, seven hundred sixty-one million, one hundred eighteen thousand, seven hundred twenty".