87173593251840 has 960 divisors, whose sum is σ = 330294505632000. Its totient is φ = 22021942542336.

The previous prime is 87173593251799. The next prime is 87173593251869. The reversal of 87173593251840 is 4815239537178.

It is a happy number.

87173593251840 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 3 + 593 + 25 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3404008956 + ... + 3404034564.

It is an arithmetic number, because the mean of its divisors is an integer number (344056776700).

Almost surely, 2^{87173593251840} is an apocalyptic number.

87173593251840 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 87173593251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165147252816000).

87173593251840 is an abundant number, since it is smaller than the sum of its proper divisors (243120912380160).

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

87173593251840 is an frugal number, since it uses more digits than its factorization.

87173593251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25682 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 87173593251840 in words is "eighty-seven trillion, one hundred seventy-three billion, five hundred ninety-three million, two hundred fifty-one thousand, eight hundred forty".