87362241120 has 1152 divisors, whose sum is σ = 411035627520. Its totient is φ = 17077616640.

The previous prime is 87362241097. The next prime is 87362241143. The reversal of 87362241120 is 2114226378.

It is a happy number.

87362241120 is a `hidden beast` number, since 8 + 7 + 3 + 622 + 4 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (87362241097) and next prime (87362241143).

It is a super-2 number, since 2×87362241120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 39583057 + ... + 39585263.

It is an arithmetic number, because the mean of its divisors is an integer number (356801760).

Almost surely, 2^87362241120 is an apocalyptic number.

87362241120 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 87362241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205517813760).

87362241120 is an abundant number, since it is smaller than the sum of its proper divisors (323673386400).

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

87362241120 is a wasteful number, since it uses less digits than its factorization.

87362241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 87362241120 its reverse (2114226378), we get a palindrome (89476467498).

The spelling of 87362241120 in words is "eighty-seven billion, three hundred sixty-two million, two hundred forty-one thousand, one hundred twenty".