85132382060544 has 1920 divisors, whose sum is σ = 306986001638400. Its totient is φ = 20775696334848.

The previous prime is 85132382060497. The next prime is 85132382060569. The reversal of 85132382060544 is 44506028323158.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271988440932 + ... + 271988441244.

It is an arithmetic number, because the mean of its divisors is an integer number (159888542520).

Almost surely, 2^{85132382060544} is an apocalyptic number.

85132382060544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85132382060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153493000819200).

85132382060544 is an abundant number, since it is smaller than the sum of its proper divisors (221853619577856).

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

85132382060544 is a wasteful number, since it uses less digits than its factorization.

85132382060544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 85132382060544 in words is "eighty-five trillion, one hundred thirty-two billion, three hundred eighty-two million, sixty thousand, five hundred forty-four".