87235361856 has 140 divisors (see below), whose sum is σ = 258888463680. Its totient is φ = 29045226240.

The previous prime is 87235361831. The next prime is 87235361869. The reversal of 87235361856 is 65816353278.

87235361856 is a `hidden beast` number, since 8 + 7 + 23 + 536 + 1 + 85 + 6 = 666.

It is a super-2 number, since 2×87235361856² (a number of 23 digits) contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 4754941 + ... + 4773251.

It is an arithmetic number, because the mean of its divisors is an integer number (1849203312).

Almost surely, 2^87235361856 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 87235361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129444231840).

87235361856 is an abundant number, since it is smaller than the sum of its proper divisors (171653101824).

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

87235361856 is a wasteful number, since it uses less digits than its factorization.

87235361856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254 (or 19235 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 87235361856 in words is "eighty-seven billion, two hundred thirty-five million, three hundred sixty-one thousand, eight hundred fifty-six".