87423455433600 has 4608 divisors, whose sum is σ = 400898090880000. Its totient is φ = 18327969792000.

The previous prime is 87423455433551. The next prime is 87423455433673. The reversal of 87423455433600 is 633455432478.

87423455433600 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 34 + 5 + 543 + 3 + 60 + 0 = 666.

87423455433600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 439313846301 + ... + 439313846499.

It is an arithmetic number, because the mean of its divisors is an integer number (87000453750).

Almost surely, 2^{87423455433600} is an apocalyptic number.

87423455433600 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 87423455433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200449045440000).

87423455433600 is an abundant number, since it is smaller than the sum of its proper divisors (313474635446400).

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

87423455433600 is a wasteful number, since it uses less digits than its factorization.

87423455433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 87423455433600 in words is "eighty-seven trillion, four hundred twenty-three billion, four hundred fifty-five million, four hundred thirty-three thousand, six hundred".