87485118600 has 192 divisors, whose sum is σ = 305403310080. Its totient is φ = 20524320000.

The previous prime is 87485118577. The next prime is 87485118671. The reversal of 87485118600 is 681158478.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87485118600.

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, 9196 + ... + 418395.

It is an arithmetic number, because the mean of its divisors is an integer number (1590642240).

Almost surely, 2^87485118600 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 87485118600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152701655040).

87485118600 is an abundant number, since it is smaller than the sum of its proper divisors (217918191480).

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

87485118600 is a wasteful number, since it uses less digits than its factorization.

87485118600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427652 (or 427643 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 87485118600 in words is "eighty-seven billion, four hundred eighty-five million, one hundred eighteen thousand, six hundred".