85637944038336 has 224 divisors, whose sum is σ = 249195580815360. Its totient is φ = 25834865531904.

The previous prime is 85637944038307. The next prime is 85637944038337. The reversal of 85637944038336 is 63383044973658.

It is a super-2 number, since 2×85637944038336² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85637944038337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65383995 + ... + 66680901.

Almost surely, 2^{85637944038336} 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 85637944038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124597790407680).

85637944038336 is an abundant number, since it is smaller than the sum of its proper divisors (163557636777024).

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

85637944038336 is a wasteful number, since it uses less digits than its factorization.

85637944038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297751 (or 1297741 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 69.

The spelling of 85637944038336 in words is "eighty-five trillion, six hundred thirty-seven billion, nine hundred forty-four million, thirty-eight thousand, three hundred thirty-six".