85758083938032 has 480 divisors, whose sum is σ = 252290196727296. Its totient is φ = 24892755148800.

The previous prime is 85758083938027. The next prime is 85758083938091. The reversal of 85758083938032 is 23083938085758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37108646157 + ... + 37108648467.

Almost surely, 2^{85758083938032} 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 85758083938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126145098363648).

85758083938032 is an abundant number, since it is smaller than the sum of its proper divisors (166532112789264).

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

85758083938032 is a wasteful number, since it uses less digits than its factorization.

85758083938032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 85758083938032 in words is "eighty-five trillion, seven hundred fifty-eight billion, eighty-three million, nine hundred thirty-eight thousand, thirty-two".