48776044752 has 240 divisors, whose sum is σ = 144074112000. Its totient is φ = 15972308352.

The previous prime is 48776044747. The next prime is 48776044753. The reversal of 48776044752 is 25744067784.

48776044752 is a `hidden beast` number, since 4 + 87 + 76 + 0 + 447 + 52 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48776044753) 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 47 ways as a sum of consecutive naturals, for example, 116410399 + ... + 116410817.

It is an arithmetic number, because the mean of its divisors is an integer number (600308800).

Almost surely, 2^48776044752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48776044752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056000).

48776044752 is an abundant number, since it is smaller than the sum of its proper divisors (95298067248).

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

48776044752 is a wasteful number, since it uses less digits than its factorization.

48776044752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 48776044752 in words is "forty-eight billion, seven hundred seventy-six million, forty-four thousand, seven hundred fifty-two".