87669795225600 has 2304 divisors, whose sum is σ = 391090189161600. Its totient is φ = 19162107740160.

The previous prime is 87669795225599. The next prime is 87669795225619. The reversal of 87669795225600 is 652259796678.

It is a happy number.

87669795225600 is a `hidden beast` number, since 8 + 7 + 6 + 6 + 9 + 7 + 9 + 5 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24927435042 + ... + 24927438558.

Almost surely, 2^{87669795225600} is an apocalyptic number.

87669795225600 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 87669795225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195545094580800).

87669795225600 is an abundant number, since it is smaller than the sum of its proper divisors (303420393936000).

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

87669795225600 is a wasteful number, since it uses less digits than its factorization.

87669795225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 87669795225600 in words is "eighty-seven trillion, six hundred sixty-nine billion, seven hundred ninety-five million, two hundred twenty-five thousand, six hundred".