84753285120 has 1536 divisors, whose sum is σ = 387296121600. Its totient is φ = 17439916032.

The previous prime is 84753285119. The next prime is 84753285163. The reversal of 84753285120 is 2158235748.

84753285120 is a `hidden beast` number, since 8 + 47 + 532 + 8 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3684925429 + ... + 3684925451.

Almost surely, 2^84753285120 is an apocalyptic number.

84753285120 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 84753285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193648060800).

84753285120 is an abundant number, since it is smaller than the sum of its proper divisors (302542836480).

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

84753285120 is a wasteful number, since it uses less digits than its factorization.

84753285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 84753285120 in words is "eighty-four billion, seven hundred fifty-three million, two hundred eighty-five thousand, one hundred twenty".