87087571200 has 1080 divisors, whose sum is σ = 373170365568. Its totient is φ = 19627868160.

The previous prime is 87087571183. The next prime is 87087571267. The reversal of 87087571200 is 217578078.

87087571200 is a `hidden beast` number, since 8 + 70 + 8 + 7 + 571 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×87087571200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 373766284 + ... + 373766516.

Almost surely, 2^87087571200 is an apocalyptic number.

87087571200 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 87087571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186585182784).

87087571200 is an abundant number, since it is smaller than the sum of its proper divisors (286082794368).

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

87087571200 is a wasteful number, since it uses less digits than its factorization.

87087571200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 87087571200 in words is "eighty-seven billion, eighty-seven million, five hundred seventy-one thousand, two hundred".