87895823827392 has 1120 divisors, whose sum is σ = 309007807891200. Its totient is φ = 24490055116800.

The previous prime is 87895823827349. The next prime is 87895823827397. The reversal of 87895823827392 is 29372832859878.

87895823827392 is a `hidden beast` number, since 8 + 7 + 8 + 9 + 5 + 82 + 382 + 73 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87895823827397) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32067063142 + ... + 32067065882.

Almost surely, 2^{87895823827392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87895823827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154503903945600).

87895823827392 is an abundant number, since it is smaller than the sum of its proper divisors (221111984063808).

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

87895823827392 is a wasteful number, since it uses less digits than its factorization.

87895823827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2943 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 87895823827392 in words is "eighty-seven trillion, eight hundred ninety-five billion, eight hundred twenty-three million, eight hundred twenty-seven thousand, three hundred ninety-two".