87727656044160 has 512 divisors, whose sum is σ = 346159451750400. Its totient is φ = 20814812467200.

The previous prime is 87727656044117. The next prime is 87727656044167. The reversal of 87727656044160 is 6144065672778.

87727656044160 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 7 + 6 + 5 + 604 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×87727656044160² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87727656044167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4023865 + ... + 13843655.

It is an arithmetic number, because the mean of its divisors is an integer number (676092679200).

Almost surely, 2^{87727656044160} is an apocalyptic number.

87727656044160 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 87727656044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173079725875200).

87727656044160 is an abundant number, since it is smaller than the sum of its proper divisors (258431795706240).

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

87727656044160 is a wasteful number, since it uses less digits than its factorization.

87727656044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819877 (or 9819859 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 87727656044160 in words is "eighty-seven trillion, seven hundred twenty-seven billion, six hundred fifty-six million, forty-four thousand, one hundred sixty".