86744975625 has 675 divisors, whose sum is σ = 219938508867. Its totient is φ = 33929280000.

The previous prime is 86744975599. The next prime is 86744975677. The reversal of 86744975625 is 52657944768.

The square root of 86744975625 is 294525.

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

86744975625 is a `hidden beast` number, since 8 + 6 + 74 + 497 + 56 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 42362284041 + 44382691584 = 205821^2 + 210672^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 86744975625 - 2⁹ = 86744975113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 5102645617 + ... + 5102645633.

Almost surely, 2^86744975625 is an apocalyptic number.

86744975625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86744975625 is the 294525-th square number.

86744975625 is the 147263-rd centered octagonal number.

It is an amenable number.

86744975625 is an abundant number, since it is smaller than the sum of its proper divisors (133193533242).

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

86744975625 is a wasteful number, since it uses less digits than its factorization.

86744975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 86744975625 in words is "eighty-six billion, seven hundred forty-four million, nine hundred seventy-five thousand, six hundred twenty-five".