87182855654976 has 315 divisors, whose sum is σ = 264978159277953. Its totient is φ = 28343184491520.

The previous prime is 87182855654971. The next prime is 87182855655023. The reversal of 87182855654976 is 67945655828178.

The square root of 87182855654976 is 9337176.

It is a perfect power (a square), and thus also a powerful number.

87182855654976 is a `hidden beast` number, since 8 + 7 + 1 + 8 + 2 + 8 + 5 + 565 + 49 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4200958541376 + 82981897113600 = 2049624^2 + 9109440^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 87182855654895 and 87182855654904.

It is not an unprimeable number, because it can be changed into a prime (87182855654971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27563341971 + ... + 27563345133.

Almost surely, 2^{87182855654976} is an apocalyptic number.

87182855654976 is the 9337176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87182855654976

87182855654976 is an abundant number, since it is smaller than the sum of its proper divisors (177795303622977).

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

87182855654976 is an frugal number, since it uses more digits than its factorization.

87182855654976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 3209 counting only the distinct ones).

The product of its digits is 8128512000, while the sum is 81.

87182855654976 divided by its sum of digits (81) gives a square (1076331551296 = 1037464²).

The spelling of 87182855654976 in words is "eighty-seven trillion, one hundred eighty-two billion, eight hundred fifty-five million, six hundred fifty-four thousand, nine hundred seventy-six".