87002173440 has 1872 divisors, whose sum is σ = 410113540800. Its totient is φ = 17390370816.

The previous prime is 87002173403. The next prime is 87002173469. The reversal of 87002173440 is 4437120078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a junction number, because it is equal to n+sod(n) for n = 87002173395 and 87002173404.

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 143 ways as a sum of consecutive naturals, for example, 4579061751 + ... + 4579061769.

Almost surely, 2^87002173440 is an apocalyptic number.

87002173440 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 87002173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205056770400).

87002173440 is an abundant number, since it is smaller than the sum of its proper divisors (323111367360).

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

87002173440 is a wasteful number, since it uses less digits than its factorization.

87002173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

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

The spelling of 87002173440 in words is "eighty-seven billion, two million, one hundred seventy-three thousand, four hundred forty".