48551766715584 has 504 divisors, whose sum is σ = 156164370970608. Its totient is φ = 14302718484480.

The previous prime is 48551766715583. The next prime is 48551766715607.

48551766715584 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 1 + 7 + 6 + 67 + 1 + 558 + 4 = 666.

48551766715584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48551766715584² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48551766715583) 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, 17113769014 + ... + 17113771850.

It is an arithmetic number, because the mean of its divisors is an integer number (309849942402).

Almost surely, 2^{48551766715584} is an apocalyptic number.

48551766715584 is a gapful number since it is divisible by the number (44) 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 48551766715584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78082185485304).

48551766715584 is an abundant number, since it is smaller than the sum of its proper divisors (107612604255024).

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

48551766715584 is a wasteful number, since it uses less digits than its factorization.

48551766715584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4863 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 72.

The spelling of 48551766715584 in words is "forty-eight trillion, five hundred fifty-one billion, seven hundred sixty-six million, seven hundred fifteen thousand, five hundred eighty-four".