671168102492160 has 3072 divisors, whose sum is σ = 3080990004019200. Its totient is φ = 134784928972800.

The previous prime is 671168102492093. The next prime is 671168102492171. The reversal of 671168102492160 is 61294201861176.

671168102492160 is a `hidden beast` number, since 6 + 7 + 1 + 16 + 81 + 0 + 2 + 492 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×671168102492160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 671168102492097 and 671168102492106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47576947827 + ... + 47576961933.

It is an arithmetic number, because the mean of its divisors is an integer number (1002926433600).

Almost surely, 2^{671168102492160} is an apocalyptic number.

671168102492160 is a gapful number since it is divisible by the number (60) 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 671168102492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540495002009600).

671168102492160 is an abundant number, since it is smaller than the sum of its proper divisors (2409821901527040).

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

671168102492160 is a wasteful number, since it uses less digits than its factorization.

671168102492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14255 (or 14229 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 671168102492160 in words is "six hundred seventy-one trillion, one hundred sixty-eight billion, one hundred two million, four hundred ninety-two thousand, one hundred sixty".