87725869200 has 90 divisors (see below), whose sum is σ = 304433146914. Its totient is φ = 23393564160.

The previous prime is 87725869181. The next prime is 87725869207. The reversal of 87725869200 is 296852778.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 781090704 + 86944778496 = 27948^2 + 294864^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (87725869207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12180549 + ... + 12187748.

Almost surely, 2^87725869200 is an apocalyptic number.

87725869200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87725869200 is an abundant number, since it is smaller than the sum of its proper divisors (216707277714).

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

87725869200 is a wasteful number, since it uses less digits than its factorization.

87725869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368321 (or 24368307 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87725869200 in words is "eighty-seven billion, seven hundred twenty-five million, eight hundred sixty-nine thousand, two hundred".