84511728000 has 512 divisors, whose sum is σ = 355766860800. Its totient is φ = 19316275200.

The previous prime is 84511727983. The next prime is 84511728013. The reversal of 84511728000 is 82711548.

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 63 ways as a sum of consecutive naturals, for example, 3010027 + ... + 3037973.

It is an arithmetic number, because the mean of its divisors is an integer number (694857150).

Almost surely, 2^84511728000 is an apocalyptic number.

84511728000 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 84511728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177883430400).

84511728000 is an abundant number, since it is smaller than the sum of its proper divisors (271255132800).

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

84511728000 is a wasteful number, since it uses less digits than its factorization.

84511728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27992 (or 27964 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 84511728000 in words is "eighty-four billion, five hundred eleven million, seven hundred twenty-eight thousand".