87905606888401 has 9 divisors (see below), whose sum is σ = 89033171458203. Its totient is φ = 86792146374960.

The previous prime is 87905606888371. The next prime is 87905606888417. The reversal of 87905606888401 is 10488860650978.

The square root of 87905606888401 is 9375799.

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

It can be written as a sum of positive squares in only one way, i.e., 11342406886801 + 76563200001600 = 3367849^2 + 8750040^2 .

It is a de Polignac number, because none of the positive numbers 2^k-87905606888401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87905606883401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 740628781 + ... + 740747461.

It is an arithmetic number, because the mean of its divisors is an integer number (9892574606467).

Almost surely, 2^{87905606888401} is an apocalyptic number.

87905606888401 is the 9375799-th square number.

87905606888401 is the 4687900-th centered octagonal number.

It is an amenable number.

87905606888401 is a deficient number, since it is larger than the sum of its proper divisors (1127564569802).

87905606888401 is an frugal number, since it uses more digits than its factorization.

87905606888401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237520 (or 118760 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 70.

The spelling of 87905606888401 in words is "eighty-seven trillion, nine hundred five billion, six hundred six million, eight hundred eighty-eight thousand, four hundred one".