87585476600160 has 576 divisors, whose sum is σ = 373317886416384. Its totient is φ = 18166295347200.

The previous prime is 87585476600159. The next prime is 87585476600179. The reversal of 87585476600160 is 6100667458578.

87585476600160 is a `hidden beast` number, since 8 + 7 + 5 + 8 + 5 + 4 + 7 + 6 + 600 + 16 + 0 = 666.

It is a super-2 number, since 2×87585476600160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59929320 + ... + 61373400.

It is an arithmetic number, because the mean of its divisors is an integer number (648121330584).

Almost surely, 2^{87585476600160} is an apocalyptic number.

87585476600160 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 87585476600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186658943208192).

87585476600160 is an abundant number, since it is smaller than the sum of its proper divisors (285732409816224).

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

87585476600160 is a wasteful number, since it uses less digits than its factorization.

87585476600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444667 (or 1444656 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 87585476600160 in words is "eighty-seven trillion, five hundred eighty-five billion, four hundred seventy-six million, six hundred thousand, one hundred sixty".