87955299200 has 288 divisors, whose sum is σ = 226533079080. Its totient is φ = 33738342400.

The previous prime is 87955299199. The next prime is 87955299217. The reversal of 87955299200 is 299255978.

It is a super-2 number, since 2×87955299200² (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 446473502 + ... + 446473698.

Almost surely, 2^87955299200 is an apocalyptic number.

87955299200 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 87955299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113266539540).

87955299200 is an abundant number, since it is smaller than the sum of its proper divisors (138577779880).

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

87955299200 is a wasteful number, since it uses less digits than its factorization.

87955299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 56.

The spelling of 87955299200 in words is "eighty-seven billion, nine hundred fifty-five million, two hundred ninety-nine thousand, two hundred".