86917179625551 has 48 divisors (see below), whose sum is σ = 146253602027520. Its totient is φ = 49219962120000.

The previous prime is 86917179625499. The next prime is 86917179625579. The reversal of 86917179625551 is 15552697171968.

It is a happy number.

86917179625551 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 7 + 1 + 7 + 9 + 62 + 5 + 551 = 666.

It is not a de Polignac number, because 86917179625551 - 2⁴¹ = 84718156369999 is a prime.

It is a super-2 number, since 2×86917179625551² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86917179625551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86917179629551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488204275 + ... + 488382276.

It is an arithmetic number, because the mean of its divisors is an integer number (3046950042240).

Almost surely, 2^{86917179625551} is an apocalyptic number.

86917179625551 is a deficient number, since it is larger than the sum of its proper divisors (59336422401969).

86917179625551 is a wasteful number, since it uses less digits than its factorization.

86917179625551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976586628 (or 976586625 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 72.

The spelling of 86917179625551 in words is "eighty-six trillion, nine hundred seventeen billion, one hundred seventy-nine million, six hundred twenty-five thousand, five hundred fifty-one".