84035628127616 has 128 divisors (see below), whose sum is σ = 184818266710560. Its totient is φ = 37742510407680.

The previous prime is 84035628127601. The next prime is 84035628127639. The reversal of 84035628127616 is 61672182653048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83219210 + ... + 84222966.

Almost surely, 2^{84035628127616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84035628127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92409133355280).

84035628127616 is an abundant number, since it is smaller than the sum of its proper divisors (100782638582944).

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

84035628127616 is a wasteful number, since it uses less digits than its factorization.

84035628127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004492 (or 1004480 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 84035628127616 in words is "eighty-four trillion, thirty-five billion, six hundred twenty-eight million, one hundred twenty-seven thousand, six hundred sixteen".