87509199535968 has 96 divisors (see below), whose sum is σ = 277970398562304. Its totient is φ = 23531885586432.

The previous prime is 87509199535931. The next prime is 87509199535969. The reversal of 87509199535968 is 86953599190578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509199535969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3830048080 + ... + 3830070927.

It is an arithmetic number, because the mean of its divisors is an integer number (2895524985024).

Almost surely, 2^{87509199535968} is an apocalyptic number.

It is an amenable number.

87509199535968 is an abundant number, since it is smaller than the sum of its proper divisors (190461199026336).

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

87509199535968 is a wasteful number, since it uses less digits than its factorization.

87509199535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660119044 (or 7660119036 counting only the distinct ones).

The product of its (nonzero) digits is 6613488000, while the sum is 84.

The spelling of 87509199535968 in words is "eighty-seven trillion, five hundred nine billion, one hundred ninety-nine million, five hundred thirty-five thousand, nine hundred sixty-eight".