85442735993472 has 1344 divisors, whose sum is σ = 311219323027200. Its totient is φ = 23127640473600.

The previous prime is 85442735993467. The next prime is 85442735993533. The reversal of 85442735993472 is 27439953724458.

85442735993472 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 27 + 3 + 599 + 3 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×85442735993472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 85442735993472.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5377469304 + ... + 5377485192.

It is an arithmetic number, because the mean of its divisors is an integer number (231561996300).

Almost surely, 2^{85442735993472} 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 85442735993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155609661513600).

85442735993472 is an abundant number, since it is smaller than the sum of its proper divisors (225776587033728).

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

85442735993472 is a wasteful number, since it uses less digits than its factorization.

85442735993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15989 (or 15949 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 85442735993472 in words is "eighty-five trillion, four hundred forty-two billion, seven hundred thirty-five million, nine hundred ninety-three thousand, four hundred seventy-two".