87034588086401 has 8 divisors (see below), whose sum is σ = 88556606056800. Its totient is φ = 85514131964800.

The previous prime is 87034588086371. The next prime is 87034588086491. The reversal of 87034588086401 is 10468088543078.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87034588086401 - 2³⁰ = 87033514344577 is a prime.

It is a super-3 number, since 3×87034588086401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87034588086491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390349775 + ... + 390572676.

It is an arithmetic number, because the mean of its divisors is an integer number (11069575757100).

Almost surely, 2^{87034588086401} is an apocalyptic number.

It is an amenable number.

87034588086401 is a deficient number, since it is larger than the sum of its proper divisors (1522017970399).

87034588086401 is a wasteful number, since it uses less digits than its factorization.

87034588086401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780924399.

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 87034588086401 in words is "eighty-seven trillion, thirty-four billion, five hundred eighty-eight million, eighty-six thousand, four hundred one".