654116105160 has 192 divisors, whose sum is σ = 2429939191680. Its totient is φ = 149489786880.

The previous prime is 654116105147. The next prime is 654116105197. The reversal of 654116105160 is 61501611456.

654116105160 is a `hidden beast` number, since 6 + 541 + 1 + 6 + 1 + 0 + 51 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21437515 + ... + 21468005.

It is an arithmetic number, because the mean of its divisors is an integer number (12655933290).

Almost surely, 2^654116105160 is an apocalyptic number.

654116105160 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 654116105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214969595840).

654116105160 is an abundant number, since it is smaller than the sum of its proper divisors (1775823086520).

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

654116105160 is a wasteful number, since it uses less digits than its factorization.

654116105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39028 (or 39021 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 654116105160 in words is "six hundred fifty-four billion, one hundred sixteen million, one hundred five thousand, one hundred sixty".