86997305299968 has 528 divisors, whose sum is σ = 294954614083584. Its totient is φ = 24181699461120.

The previous prime is 86997305299937. The next prime is 86997305300021. The reversal of 86997305299968 is 86999250379968.

86997305299968 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 7 + 305 + 299 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×86997305299968² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506268783 + ... + 506440593.

Almost surely, 2^{86997305299968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86997305299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147477307041792).

86997305299968 is an abundant number, since it is smaller than the sum of its proper divisors (207957308783616).

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

86997305299968 is a wasteful number, since it uses less digits than its factorization.

86997305299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172058 (or 172037 counting only the distinct ones).

The product of its (nonzero) digits is 28570268160, while the sum is 90.

The spelling of 86997305299968 in words is "eighty-six trillion, nine hundred ninety-seven billion, three hundred five million, two hundred ninety-nine thousand, nine hundred sixty-eight".