84557128320 has 768 divisors, whose sum is σ = 344208384000. Its totient is φ = 19118260224.

The previous prime is 84557128319. The next prime is 84557128321. The reversal of 84557128320 is 2382175548.

84557128320 is a `hidden beast` number, since 8 + 4 + 557 + 12 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84557128319) and next prime (84557128321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84557128321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250911192 + ... + 250911528.

It is an arithmetic number, because the mean of its divisors is an integer number (448188000).

Almost surely, 2^84557128320 is an apocalyptic number.

84557128320 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 84557128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172104192000).

84557128320 is an abundant number, since it is smaller than the sum of its proper divisors (259651255680).

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

84557128320 is a wasteful number, since it uses less digits than its factorization.

84557128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 84557128320 in words is "eighty-four billion, five hundred fifty-seven million, one hundred twenty-eight thousand, three hundred twenty".