85367001506688 has 320 divisors, whose sum is σ = 283906024118640. Its totient is φ = 25237840896000.

The previous prime is 85367001506663. The next prime is 85367001506693. The reversal of 85367001506688 is 88660510076358.

It is a happy number.

85367001506688 is a `hidden beast` number, since 8 + 5 + 3 + 67 + 0 + 0 + 1 + 506 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4452303 + ... + 13804238.

Almost surely, 2^{85367001506688} is an apocalyptic number.

85367001506688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85367001506688 is an abundant number, since it is smaller than the sum of its proper divisors (198539022611952).

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

85367001506688 is a wasteful number, since it uses less digits than its factorization.

85367001506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18256619 (or 18256598 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 85367001506688 in words is "eighty-five trillion, three hundred sixty-seven billion, one million, five hundred six thousand, six hundred eighty-eight".