85457638965424 has 80 divisors (see below), whose sum is σ = 183833765136000. Its totient is φ = 38155665743360.

The previous prime is 85457638965421. The next prime is 85457638965427. The reversal of 85457638965424 is 42456983675458.

It is an interprime number because it is at equal distance from previous prime (85457638965421) and next prime (85457638965427).

It is not an unprimeable number, because it can be changed into a prime (85457638965421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9805092 + ... + 16341820.

It is an arithmetic number, because the mean of its divisors is an integer number (2297922064200).

Almost surely, 2^{85457638965424} 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 85457638965424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91916882568000).

85457638965424 is an abundant number, since it is smaller than the sum of its proper divisors (98376126170576).

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

85457638965424 is a wasteful number, since it uses less digits than its factorization.

85457638965424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538066 (or 6538060 counting only the distinct ones).

The product of its digits is 6967296000, while the sum is 76.

The spelling of 85457638965424 in words is "eighty-five trillion, four hundred fifty-seven billion, six hundred thirty-eight million, nine hundred sixty-five thousand, four hundred twenty-four".