85946620197312 has 840 divisors, whose sum is σ = 306993492590400. Its totient is φ = 23678046572544.

The previous prime is 85946620197271. The next prime is 85946620197313. The reversal of 85946620197312 is 21379102664958.

85946620197312 is a `hidden beast` number, since 8 + 59 + 4 + 66 + 20 + 197 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 85946620197312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85946620197313) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5871064489 + ... + 5871079127.

It is an arithmetic number, because the mean of its divisors is an integer number (365468443560).

It is a 1-persistent number, because it is pandigital, but 2⋅85946620197312 = 171893240394624 is not.

Almost surely, 2^{85946620197312} 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 85946620197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153496746295200).

85946620197312 is an abundant number, since it is smaller than the sum of its proper divisors (221046872393088).

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

85946620197312 is a wasteful number, since it uses less digits than its factorization.

85946620197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 85946620197312 in words is "eighty-five trillion, nine hundred forty-six billion, six hundred twenty million, one hundred ninety-seven thousand, three hundred twelve".