85357747804032 has 256 divisors, whose sum is σ = 275003693280000. Its totient is φ = 25849267845120.

The previous prime is 85357747804031. The next prime is 85357747804037. The reversal of 85357747804032 is 23040874775358.

It is a happy number.

85357747804032 is a `hidden beast` number, since 8 + 53 + 5 + 77 + 478 + 0 + 40 + 3 + 2 = 666.

It is a super-2 number, since 2×85357747804032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85357747804031) 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, 58162023 + ... + 59611545.

It is an arithmetic number, because the mean of its divisors is an integer number (1074233176875).

Almost surely, 2^{85357747804032} 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 85357747804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137501846640000).

85357747804032 is an abundant number, since it is smaller than the sum of its proper divisors (189645945475968).

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

85357747804032 is a wasteful number, since it uses less digits than its factorization.

85357747804032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451106 (or 1451088 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 85357747804032 in words is "eighty-five trillion, three hundred fifty-seven billion, seven hundred forty-seven million, eight hundred four thousand, thirty-two".