51158813547184 has 160 divisors (see below), whose sum is σ = 115738648502400. Its totient is φ = 21453361643520.

The previous prime is 51158813547173. The next prime is 51158813547203. The reversal of 51158813547184 is 48174531885115.

51158813547184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350209712 + ... + 1350247600.

It is an arithmetic number, because the mean of its divisors is an integer number (723366553140).

Almost surely, 2^{51158813547184} 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 51158813547184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57869324251200).

51158813547184 is an abundant number, since it is smaller than the sum of its proper divisors (64579834955216).

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

51158813547184 is a wasteful number, since it uses less digits than its factorization.

51158813547184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38991 (or 38985 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 61.

The spelling of 51158813547184 in words is "fifty-one trillion, one hundred fifty-eight billion, eight hundred thirteen million, five hundred forty-seven thousand, one hundred eighty-four".