48555762697728 has 360 divisors, whose sum is σ = 165538996623000. Its totient is φ = 13582029127680.

The previous prime is 48555762697727. The next prime is 48555762697807. The reversal of 48555762697728 is 82779626755584.

48555762697728 is a `hidden beast` number, since 485 + 5 + 5 + 7 + 6 + 2 + 69 + 7 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48555762697727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5732148 + ... + 11400396.

It is an arithmetic number, because the mean of its divisors is an integer number (459830546175).

Almost surely, 2^{48555762697728} is an apocalyptic number.

48555762697728 is a gapful number since it is divisible by the number (48) 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 48555762697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82769498311500).

48555762697728 is an abundant number, since it is smaller than the sum of its proper divisors (116983233925272).

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

48555762697728 is a wasteful number, since it uses less digits than its factorization.

48555762697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668310 (or 5668278 counting only the distinct ones).

The product of its digits is 14224896000, while the sum is 81.

The spelling of 48555762697728 in words is "forty-eight trillion, five hundred fifty-five billion, seven hundred sixty-two million, six hundred ninety-seven thousand, seven hundred twenty-eight".