84056093184 has 160 divisors (see below), whose sum is σ = 256330736640. Its totient is φ = 23977562112.

The previous prime is 84056093161. The next prime is 84056093189. The reversal of 84056093184 is 48139065048.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84056093189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7079637 + ... + 7091499.

It is an arithmetic number, because the mean of its divisors is an integer number (1602067104).

Almost surely, 2^84056093184 is an apocalyptic number.

84056093184 is a gapful number since it is divisible by the number (84) 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 84056093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128165368320).

84056093184 is an abundant number, since it is smaller than the sum of its proper divisors (172274643456).

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

84056093184 is a wasteful number, since it uses less digits than its factorization.

84056093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 84056093184 in words is "eighty-four billion, fifty-six million, ninety-three thousand, one hundred eighty-four".