85735725792 has 48 divisors (see below), whose sum is σ = 225110711952. Its totient is φ = 28571663360.

The previous prime is 85735725739. The next prime is 85735725797. The reversal of 85735725792 is 29752753758.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×85735725792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85735725797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298942 + ... + 510722.

It is an arithmetic number, because the mean of its divisors is an integer number (4689806499).

Almost surely, 2^85735725792 is an apocalyptic number.

It is an amenable number.

85735725792 is an abundant number, since it is smaller than the sum of its proper divisors (139374986160).

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

85735725792 is a wasteful number, since it uses less digits than its factorization.

85735725792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216011 (or 216003 counting only the distinct ones).

The product of its digits is 37044000, while the sum is 60.

The spelling of 85735725792 in words is "eighty-five billion, seven hundred thirty-five million, seven hundred twenty-five thousand, seven hundred ninety-two".