84058128000 has 2304 divisors, whose sum is σ = 414673084800. Its totient is φ = 16547328000.

The previous prime is 84058127957. The next prime is 84058128013. The reversal of 84058128000 is 82185048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4424111991 + ... + 4424112009.

Almost surely, 2^84058128000 is an apocalyptic number.

84058128000 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 84058128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207336542400).

84058128000 is an abundant number, since it is smaller than the sum of its proper divisors (330614956800).

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

84058128000 is a wasteful number, since it uses less digits than its factorization.

84058128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 84058128000 in words is "eighty-four billion, fifty-eight million, one hundred twenty-eight thousand".