87360337152 has 432 divisors, whose sum is σ = 285416441856. Its totient is φ = 25459200000.

The previous prime is 87360337117. The next prime is 87360337159. The reversal of 87360337152 is 25173306378.

87360337152 is a `hidden beast` number, since 8 + 7 + 3 + 603 + 37 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×87360337152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87360337098 and 87360337107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87360337159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197201443 + ... + 197201885.

It is an arithmetic number, because the mean of its divisors is an integer number (660686208).

Almost surely, 2^87360337152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87360337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142708220928).

87360337152 is an abundant number, since it is smaller than the sum of its proper divisors (198056104704).

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

87360337152 is a wasteful number, since it uses less digits than its factorization.

87360337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 87360337152 in words is "eighty-seven billion, three hundred sixty million, three hundred thirty-seven thousand, one hundred fifty-two".