87468359085600 has 576 divisors, whose sum is σ = 293269224568320. Its totient is φ = 22636571443200.

The previous prime is 87468359085599. The next prime is 87468359085617. The reversal of 87468359085600 is 658095386478.

It is a happy number.

It is a super-2 number, since 2×87468359085600² (a number of 29 digits) contains 22 as substring.

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, 2927992264 + ... + 2928022136.

It is an arithmetic number, because the mean of its divisors is an integer number (509147959320).

Almost surely, 2^{87468359085600} is an apocalyptic number.

87468359085600 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 87468359085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146634612284160).

87468359085600 is an abundant number, since it is smaller than the sum of its proper divisors (205800865482720).

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

87468359085600 is a wasteful number, since it uses less digits than its factorization.

87468359085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30233 (or 30220 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 87468359085600 in words is "eighty-seven trillion, four hundred sixty-eight billion, three hundred fifty-nine million, eighty-five thousand, six hundred".