50627749116672 has 2880 divisors, whose sum is σ = 207419756544000. Its totient is φ = 12149849456640.

The previous prime is 50627749116649. The next prime is 50627749116739. The reversal of 50627749116672 is 27661194772605.

50627749116672 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 77 + 491 + 1 + 6 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 48727380729 + ... + 48727381767.

It is an arithmetic number, because the mean of its divisors is an integer number (72020748800).

Almost surely, 2^{50627749116672} is an apocalyptic number.

50627749116672 is a gapful number since it is divisible by the number (52) 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 50627749116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103709878272000).

50627749116672 is an abundant number, since it is smaller than the sum of its proper divisors (156792007427328).

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

50627749116672 is a wasteful number, since it uses less digits than its factorization.

50627749116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 50627749116672 in words is "fifty trillion, six hundred twenty-seven billion, seven hundred forty-nine million, one hundred sixteen thousand, six hundred seventy-two".