87725215677600 has 216 divisors, whose sum is σ = 309417094405692. Its totient is φ = 23387639500800.

The previous prime is 87725215677599. The next prime is 87725215677607. The reversal of 87725215677600 is 677651252778.

It is a happy number.

87725215677600 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 5 + 2 + 1 + 567 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6392017723536 + 81333197954064 = 2528244^2 + 9018492^2 .

It is not an unprimeable number, because it can be changed into a prime (87725215677607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27829890 + ... + 30821310.

Almost surely, 2^{87725215677600} is an apocalyptic number.

87725215677600 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 87725215677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154708547202846).

87725215677600 is an abundant number, since it is smaller than the sum of its proper divisors (221691878728092).

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

87725215677600 is a wasteful number, since it uses less digits than its factorization.

87725215677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995520 (or 2995504 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 87725215677600 in words is "eighty-seven trillion, seven hundred twenty-five billion, two hundred fifteen million, six hundred seventy-seven thousand, six hundred".