84311061120 has 384 divisors, whose sum is σ = 342037987200. Its totient is φ = 18866626560.

The previous prime is 84311061103. The next prime is 84311061127. The reversal of 84311061120 is 2116011348.

It is a happy number.

84311061120 is a `hidden beast` number, since 8 + 4 + 31 + 10 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (84311061127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772501 + ... + 874859.

It is an arithmetic number, because the mean of its divisors is an integer number (890723925).

Almost surely, 2^84311061120 is an apocalyptic number.

84311061120 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 84311061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171018993600).

84311061120 is an abundant number, since it is smaller than the sum of its proper divisors (257726926080).

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

84311061120 is a wasteful number, since it uses less digits than its factorization.

84311061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102408 (or 102393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 84311061120 its reverse (2116011348), we get a palindrome (86427072468).

The spelling of 84311061120 in words is "eighty-four billion, three hundred eleven million, sixty-one thousand, one hundred twenty".