84120495072 has 192 divisors, whose sum is σ = 240264589824. Its totient is φ = 25665781760.

The previous prime is 84120495071. The next prime is 84120495079. The reversal of 84120495072 is 27059402148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84120495071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23216653 + ... + 23220275.

It is an arithmetic number, because the mean of its divisors is an integer number (1251378072).

Almost surely, 2^84120495072 is an apocalyptic number.

84120495072 is a gapful number since it is divisible by the number (82) 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 84120495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120132294912).

84120495072 is an abundant number, since it is smaller than the sum of its proper divisors (156144094752).

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

84120495072 is a wasteful number, since it uses less digits than its factorization.

84120495072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 84120495072 in words is "eighty-four billion, one hundred twenty million, four hundred ninety-five thousand, seventy-two".