85837542161688 has 96 divisors (see below), whose sum is σ = 235184586436800. Its totient is φ = 28280973240000.

The previous prime is 85837542161687. The next prime is 85837542161713. The reversal of 85837542161688 is 88616124573858.

85837542161688 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 7 + 542 + 16 + 1 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85837542161687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15761398 + ... + 20496261.

It is an arithmetic number, because the mean of its divisors is an integer number (2449839442050).

Almost surely, 2^{85837542161688} is an apocalyptic number.

It is an amenable number.

85837542161688 is an abundant number, since it is smaller than the sum of its proper divisors (149347044275112).

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

85837542161688 is a wasteful number, since it uses less digits than its factorization.

85837542161688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36258053 (or 36258046 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 85837542161688 in words is "eighty-five trillion, eight hundred thirty-seven billion, five hundred forty-two million, one hundred sixty-one thousand, six hundred eighty-eight".