87167593152600 has 192 divisors, whose sum is σ = 271407085501440. Its totient is φ = 23142748032000.

The previous prime is 87167593152589. The next prime is 87167593152631. The reversal of 87167593152600 is 625139576178.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132010869 + ... + 132669531.

It is an arithmetic number, because the mean of its divisors is an integer number (1413578570320).

Almost surely, 2^{87167593152600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87167593152600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135703542750720).

87167593152600 is an abundant number, since it is smaller than the sum of its proper divisors (184239492348840).

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

87167593152600 is a wasteful number, since it uses less digits than its factorization.

87167593152600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659650 (or 659641 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 87167593152600 in words is "eighty-seven trillion, one hundred sixty-seven billion, five hundred ninety-three million, one hundred fifty-two thousand, six hundred".