87234479539200 has 3960 divisors, whose sum is σ = 401599503650400. Its totient is φ = 18601008168960.

The previous prime is 87234479539169. The next prime is 87234479539213. The reversal of 87234479539200 is 293597443278.

87234479539200 is a `hidden beast` number, since 8 + 7 + 2 + 3 + 4 + 4 + 79 + 539 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 140928076491 + ... + 140928077109.

Almost surely, 2^{87234479539200} is an apocalyptic number.

87234479539200 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 87234479539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799751825200).

87234479539200 is an abundant number, since it is smaller than the sum of its proper divisors (314365024111200).

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

87234479539200 is a wasteful number, since it uses less digits than its factorization.

87234479539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 87234479539200 in words is "eighty-seven trillion, two hundred thirty-four billion, four hundred seventy-nine million, five hundred thirty-nine thousand, two hundred".