842120525021248 has 112 divisors (see below), whose sum is σ = 1849913988312960. Its totient is φ = 377137953382400.

The previous prime is 842120525021239. The next prime is 842120525021261.

842120525021248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842120525021198 and 842120525021207.

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 15 ways as a sum of consecutive naturals, for example, 68983848 + ... + 80268376.

Almost surely, 2^{842120525021248} is an apocalyptic number.

842120525021248 is a gapful number since it is divisible by the number (88) 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 842120525021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924956994156480).

842120525021248 is an abundant number, since it is smaller than the sum of its proper divisors (1007793463291712).

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

842120525021248 is a wasteful number, since it uses less digits than its factorization.

842120525021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286116 (or 11286106 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 46.

The spelling of 842120525021248 in words is "eight hundred forty-two trillion, one hundred twenty billion, five hundred twenty-five million, twenty-one thousand, two hundred forty-eight".