87818716463400 has 2304 divisors, whose sum is σ = 357705355392000. Its totient is φ = 19629672192000.

The previous prime is 87818716463393. The next prime is 87818716463417. The reversal of 87818716463400 is 436461781878.

87818716463400 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 8 + 7 + 164 + 63 + 400 = 666.

87818716463400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87818716463400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 167913415539 + ... + 167913416061.

It is an arithmetic number, because the mean of its divisors is an integer number (155254060500).

Almost surely, 2^{87818716463400} 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 87818716463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178852677696000).

87818716463400 is an abundant number, since it is smaller than the sum of its proper divisors (269886638928600).

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

87818716463400 is a wasteful number, since it uses less digits than its factorization.

87818716463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 87818716463400 in words is "eighty-seven trillion, eight hundred eighteen billion, seven hundred sixteen million, four hundred sixty-three thousand, four hundred".