87195965542884 has 135 divisors (see below), whose sum is σ = 250559152107033. Its totient is φ = 26422459588800.

The previous prime is 87195965542879. The next prime is 87195965542891. The reversal of 87195965542884 is 48824556959178.

The square root of 87195965542884 is 9337878.

It is a perfect power (a square), and thus also a powerful number.

87195965542884 is a `hidden beast` number, since 8 + 7 + 1 + 9 + 5 + 9 + 65 + 542 + 8 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13216700288484 + 73979265254400 = 3635478^2 + 8601120^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1848876264 + ... + 1848923424.

Almost surely, 2^{87195965542884} is an apocalyptic number.

87195965542884 is the 9337878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87195965542884

87195965542884 is an abundant number, since it is smaller than the sum of its proper divisors (163363186564149).

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

87195965542884 is an frugal number, since it uses more digits than its factorization.

87195965542884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94360 (or 47177 counting only the distinct ones).

The product of its digits is 6967296000, while the sum is 81.

87195965542884 divided by its sum of digits (81) gives a square (1076493401764 = 1037542²).

The spelling of 87195965542884 in words is "eighty-seven trillion, one hundred ninety-five billion, nine hundred sixty-five million, five hundred forty-two thousand, eight hundred eighty-four".