86953722528 has 96 divisors (see below), whose sum is σ = 243308620800. Its totient is φ = 27111442176.

The previous prime is 86953722523. The next prime is 86953722539. The reversal of 86953722528 is 82522735968.

It is a happy number.

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

It is a super-3 number, since 3×86953722528³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (86953722523) 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, 157626 + ... + 445817.

It is an arithmetic number, because the mean of its divisors is an integer number (2534464800).

Almost surely, 2^86953722528 is an apocalyptic number.

It is an amenable number.

86953722528 is an abundant number, since it is smaller than the sum of its proper divisors (156354898272).

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

86953722528 is a wasteful number, since it uses less digits than its factorization.

86953722528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603554 (or 603546 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 86953722528 in words is "eighty-six billion, nine hundred fifty-three million, seven hundred twenty-two thousand, five hundred twenty-eight".