84601585152 has 960 divisors, whose sum is σ = 312400957440. Its totient is φ = 21499084800.

The previous prime is 84601585111. The next prime is 84601585301. The reversal of 84601585152 is 25158510648.

84601585152 is a `hidden beast` number, since 8 + 4 + 60 + 1 + 585 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×84601585152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84601585098 and 84601585107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1158925788 + ... + 1158925860.

It is an arithmetic number, because the mean of its divisors is an integer number (325417664).

Almost surely, 2^84601585152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84601585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156200478720).

84601585152 is an abundant number, since it is smaller than the sum of its proper divisors (227799372288).

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

84601585152 is a wasteful number, since it uses less digits than its factorization.

84601585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 84601585152 in words is "eighty-four billion, six hundred one million, five hundred eighty-five thousand, one hundred fifty-two".