87014430720 has 1152 divisors, whose sum is σ = 376137216000. Its totient is φ = 18154782720.

The previous prime is 87014430611. The next prime is 87014430731. The reversal of 87014430720 is 2703441078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×87014430720² (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 95 ways as a sum of consecutive naturals, for example, 379975566 + ... + 379975794.

It is an arithmetic number, because the mean of its divisors is an integer number (326508000).

Almost surely, 2^87014430720 is an apocalyptic number.

87014430720 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 87014430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188068608000).

87014430720 is an abundant number, since it is smaller than the sum of its proper divisors (289122785280).

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

87014430720 is a wasteful number, since it uses less digits than its factorization.

87014430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 87014430720 its reverse (2703441078), we get a palindrome (89717871798).

The spelling of 87014430720 in words is "eighty-seven billion, fourteen million, four hundred thirty thousand, seven hundred twenty".