84102857712 has 160 divisors (see below), whose sum is σ = 244430784000. Its totient is φ = 27684744192.

The previous prime is 84102857687. The next prime is 84102857719. The reversal of 84102857712 is 21775820148.

84102857712 is a `hidden beast` number, since 8 + 41 + 0 + 28 + 577 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84102857719) 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, 15574789 + ... + 15580187.

It is an arithmetic number, because the mean of its divisors is an integer number (1527692400).

Almost surely, 2^84102857712 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 84102857712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122215392000).

84102857712 is an abundant number, since it is smaller than the sum of its proper divisors (160327926288).

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

84102857712 is a wasteful number, since it uses less digits than its factorization.

84102857712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 84102857712 in words is "eighty-four billion, one hundred two million, eight hundred fifty-seven thousand, seven hundred twelve".