84587489280 has 1152 divisors, whose sum is σ = 361418803200. Its totient is φ = 17868128256.

The previous prime is 84587489227. The next prime is 84587489369. The reversal of 84587489280 is 8298478548.

84587489280 is a `hidden beast` number, since 8 + 4 + 587 + 48 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×84587489280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821237709 + ... + 821237811.

It is an arithmetic number, because the mean of its divisors is an integer number (313731600).

Almost surely, 2^84587489280 is an apocalyptic number.

84587489280 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 84587489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180709401600).

84587489280 is an abundant number, since it is smaller than the sum of its proper divisors (276831313920).

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

84587489280 is a wasteful number, since it uses less digits than its factorization.

84587489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 84587489280 in words is "eighty-four billion, five hundred eighty-seven million, four hundred eighty-nine thousand, two hundred eighty".