83160253060304 has 160 divisors (see below), whose sum is σ = 185530625280000. Its totient is φ = 35372085281280.

The previous prime is 83160253060177. The next prime is 83160253060309. The reversal of 83160253060304 is 40306035206138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83160253060309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18280994222 + ... + 18280998770.

It is an arithmetic number, because the mean of its divisors is an integer number (1159566408000).

Almost surely, 2^{83160253060304} 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 83160253060304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92765312640000).

83160253060304 is an abundant number, since it is smaller than the sum of its proper divisors (102370372219696).

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

83160253060304 is a wasteful number, since it uses less digits than its factorization.

83160253060304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 83160253060304 in words is "eighty-three trillion, one hundred sixty billion, two hundred fifty-three million, sixty thousand, three hundred four".