87454320377984 has 256 divisors, whose sum is σ = 203284857600000. Its totient is φ = 36700749496320.

The previous prime is 87454320377971. The next prime is 87454320377987. The reversal of 87454320377984 is 48977302345478.

It is not an unprimeable number, because it can be changed into a prime (87454320377987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15641979029 + ... + 15641984619.

It is an arithmetic number, because the mean of its divisors is an integer number (794081475000).

Almost surely, 2^{87454320377984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87454320377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101642428800000).

87454320377984 is an abundant number, since it is smaller than the sum of its proper divisors (115830537222016).

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

87454320377984 is a wasteful number, since it uses less digits than its factorization.

87454320377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 71.

The spelling of 87454320377984 in words is "eighty-seven trillion, four hundred fifty-four billion, three hundred twenty million, three hundred seventy-seven thousand, nine hundred eighty-four".