85183454160 has 720 divisors, whose sum is σ = 348671112192. Its totient is φ = 18560102400.

The previous prime is 85183454137. The next prime is 85183454171. The reversal of 85183454160 is 6145438158.

85183454160 is a `hidden beast` number, since 8 + 5 + 18 + 34 + 541 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77650732 + ... + 77651828.

Almost surely, 2^85183454160 is an apocalyptic number.

85183454160 is a gapful number since it is divisible by the number (80) 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 85183454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174335556096).

85183454160 is an abundant number, since it is smaller than the sum of its proper divisors (263487658032).

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

85183454160 is a wasteful number, since it uses less digits than its factorization.

85183454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85183454160 in words is "eighty-five billion, one hundred eighty-three million, four hundred fifty-four thousand, one hundred sixty".