85737356208 has 240 divisors, whose sum is σ = 297969817600. Its totient is φ = 22458332160.

The previous prime is 85737356207. The next prime is 85737356219. The reversal of 85737356208 is 80265373758.

85737356208 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 7 + 3 + 5 + 620 + 8 = 666.

It is a super-2 number, since 2×85737356208² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85737356207) 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, 521508 + ... + 665916.

Almost surely, 2^85737356208 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 85737356208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148984908800).

85737356208 is an abundant number, since it is smaller than the sum of its proper divisors (212232461392).

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

85737356208 is a wasteful number, since it uses less digits than its factorization.

85737356208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144480 (or 144471 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 85737356208 in words is "eighty-five billion, seven hundred thirty-seven million, three hundred fifty-six thousand, two hundred eight".