84207958560 has 384 divisors, whose sum is σ = 331898757120. Its totient is φ = 19755187200.

The previous prime is 84207958553. The next prime is 84207958589. The reversal of 84207958560 is 6585970248.

84207958560 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 79 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84207958497 and 84207958506.

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 63 ways as a sum of consecutive naturals, for example, 1444539 + ... + 1501701.

It is an arithmetic number, because the mean of its divisors is an integer number (864319680).

Almost surely, 2^84207958560 is an apocalyptic number.

84207958560 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 84207958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165949378560).

84207958560 is an abundant number, since it is smaller than the sum of its proper divisors (247690798560).

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

84207958560 is a wasteful number, since it uses less digits than its factorization.

84207958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57229 (or 57215 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 84207958560 in words is "eighty-four billion, two hundred seven million, nine hundred fifty-eight thousand, five hundred sixty".