87156237168 has 1200 divisors, whose sum is σ = 356846493696. Its totient is φ = 19830666240.

The previous prime is 87156237139. The next prime is 87156237209. The reversal of 87156237168 is 86173265178.

It is a happy number.

87156237168 is a `hidden beast` number, since 8 + 7 + 1 + 5 + 623 + 7 + 1 + 6 + 8 = 666.

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

Its product of digits (3386880) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 686269521 + ... + 686269647.

Almost surely, 2^87156237168 is an apocalyptic number.

87156237168 is a gapful number since it is divisible by the number (88) 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 87156237168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178423246848).

87156237168 is an abundant number, since it is smaller than the sum of its proper divisors (269690256528).

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

87156237168 is a wasteful number, since it uses less digits than its factorization.

87156237168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 87156237168 in words is "eighty-seven billion, one hundred fifty-six million, two hundred thirty-seven thousand, one hundred sixty-eight".