87124205614080 has 352 divisors, whose sum is σ = 288446438486016. Its totient is φ = 22427187019776.

The previous prime is 87124205614073. The next prime is 87124205614081. The reversal of 87124205614080 is 8041650242178.

It is a happy number.

87124205614080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87124205614081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71573092 + ... + 72780188.

Almost surely, 2^{87124205614080} is an apocalyptic number.

87124205614080 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 87124205614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144223219243008).

87124205614080 is an abundant number, since it is smaller than the sum of its proper divisors (201322232871936).

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

87124205614080 is a wasteful number, since it uses less digits than its factorization.

87124205614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207289 (or 1207271 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 87124205614080 in words is "eighty-seven trillion, one hundred twenty-four billion, two hundred five million, six hundred fourteen thousand, eighty".