87689009408 has 288 divisors, whose sum is σ = 248849314560. Its totient is φ = 29679943680.

The previous prime is 87689009389. The next prime is 87689009483. The reversal of 87689009408 is 80490098678.

It is a super-3 number, since 3×87689009408³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4346288 + ... + 4366416.

It is an arithmetic number, because the mean of its divisors is an integer number (864060120).

Almost surely, 2^87689009408 is an apocalyptic number.

87689009408 is a gapful number since it is divisible by the number (88) 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 87689009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124424657280).

87689009408 is an abundant number, since it is smaller than the sum of its proper divisors (161160305152).

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

87689009408 is a wasteful number, since it uses less digits than its factorization.

87689009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 87689009408 in words is "eighty-seven billion, six hundred eighty-nine million, nine thousand, four hundred eight".