87136227360 has 384 divisors, whose sum is σ = 375357749760. Its totient is φ = 18384703488.

The previous prime is 87136227349. The next prime is 87136227377. The reversal of 87136227360 is 6372263178.

87136227360 is a `hidden beast` number, since 8 + 7 + 13 + 622 + 7 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×87136227360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282294 + ... + 503946.

It is an arithmetic number, because the mean of its divisors is an integer number (977494140).

Almost surely, 2^87136227360 is an apocalyptic number.

87136227360 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 87136227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187678874880).

87136227360 is an abundant number, since it is smaller than the sum of its proper divisors (288221522400).

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

87136227360 is a wasteful number, since it uses less digits than its factorization.

87136227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221697 (or 221683 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 87136227360 in words is "eighty-seven billion, one hundred thirty-six million, two hundred twenty-seven thousand, three hundred sixty".