87354271200 has 288 divisors, whose sum is σ = 326035632384. Its totient is φ = 19900477440.

The previous prime is 87354271187. The next prime is 87354271243. The reversal of 87354271200 is 217245378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5149132 + ... + 5166068.

It is an arithmetic number, because the mean of its divisors is an integer number (1132068168).

Almost surely, 2^87354271200 is an apocalyptic number.

87354271200 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 87354271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163017816192).

87354271200 is an abundant number, since it is smaller than the sum of its proper divisors (238681361184).

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

87354271200 is a wasteful number, since it uses less digits than its factorization.

87354271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17274 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 87354271200 in words is "eighty-seven billion, three hundred fifty-four million, two hundred seventy-one thousand, two hundred".