84393412377120 has 1152 divisors, whose sum is σ = 362818295304192. Its totient is φ = 17352896716800.

The previous prime is 84393412377119. The next prime is 84393412377143. The reversal of 84393412377120 is 2177321439348.

84393412377120 is a `hidden beast` number, since 8 + 4 + 39 + 3 + 412 + 3 + 77 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12113303877 + ... + 12113310843.

It is an arithmetic number, because the mean of its divisors is an integer number (314946436896).

Almost surely, 2^{84393412377120} is an apocalyptic number.

84393412377120 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 84393412377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181409147652096).

84393412377120 is an abundant number, since it is smaller than the sum of its proper divisors (278424882927072).

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

84393412377120 is a wasteful number, since it uses less digits than its factorization.

84393412377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 84393412377120 in words is "eighty-four trillion, three hundred ninety-three billion, four hundred twelve million, three hundred seventy-seven thousand, one hundred twenty".