84687827120 has 80 divisors (see below), whose sum is σ = 221264713152. Its totient is φ = 29909806080.

The previous prime is 84687827117. The next prime is 84687827123. The reversal of 84687827120 is 2172878648.

It is an interprime number because it is at equal distance from previous prime (84687827117) and next prime (84687827123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×84687827120³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (84687827123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1746311 + ... + 1794150.

Almost surely, 2^84687827120 is an apocalyptic number.

84687827120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84687827120 is an abundant number, since it is smaller than the sum of its proper divisors (136576886032).

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

84687827120 is a wasteful number, since it uses less digits than its factorization.

84687827120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540510 (or 3540504 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 84687827120 in words is "eighty-four billion, six hundred eighty-seven million, eight hundred twenty-seven thousand, one hundred twenty".