65171191680 has 768 divisors, whose sum is σ = 282699936000. Its totient is φ = 14108774400.

The previous prime is 65171191663. The next prime is 65171191759. The reversal of 65171191680 is 8619117156.

65171191680 is a `hidden beast` number, since 6 + 517 + 119 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16085655 + ... + 16089705.

It is an arithmetic number, because the mean of its divisors is an integer number (368098875).

Almost surely, 2^65171191680 is an apocalyptic number.

65171191680 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 65171191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141349968000).

65171191680 is an abundant number, since it is smaller than the sum of its proper divisors (217528744320).

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

65171191680 is a wasteful number, since it uses less digits than its factorization.

65171191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 65171191680 in words is "sixty-five billion, one hundred seventy-one million, one hundred ninety-one thousand, six hundred eighty".