186752828064 has 96 divisors (see below), whose sum is σ = 535255547904. Its totient is φ = 56542734080.

The previous prime is 186752828033. The next prime is 186752828147. The reversal of 186752828064 is 460828257681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 186752827995 and 186752828013.

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 15 ways as a sum of consecutive naturals, for example, 1152097 + ... + 1304159.

It is an arithmetic number, because the mean of its divisors is an integer number (5575578624).

Almost surely, 2^186752828064 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 186752828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267627773952).

186752828064 is an abundant number, since it is smaller than the sum of its proper divisors (348502719840).

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

186752828064 is a wasteful number, since it uses less digits than its factorization.

186752828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153250 (or 153242 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 186752828064 in words is "one hundred eighty-six billion, seven hundred fifty-two million, eight hundred twenty-eight thousand, sixty-four".