84160581120 has 1440 divisors, whose sum is σ = 385110101376. Its totient is φ = 17418240000.

The previous prime is 84160581119. The next prime is 84160581151. The reversal of 84160581120 is 2118506148.

84160581120 is a `hidden beast` number, since 8 + 4 + 1 + 60 + 581 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×84160581120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335300995 + ... + 335301245.

Almost surely, 2^84160581120 is an apocalyptic number.

84160581120 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 84160581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192555050688).

84160581120 is an abundant number, since it is smaller than the sum of its proper divisors (300949520256).

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

84160581120 is a wasteful number, since it uses less digits than its factorization.

84160581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 84160581120 in words is "eighty-four billion, one hundred sixty million, five hundred eighty-one thousand, one hundred twenty".