85582407157776 has 135 divisors (see below), whose sum is σ = 245509167347197. Its totient is φ = 27830196952320.

The previous prime is 85582407157757. The next prime is 85582407157777. The reversal of 85582407157776 is 67775170428558.

The square root of 85582407157776 is 9251076.

It is a perfect power (a square), and thus also a powerful number.

85582407157776 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 2 + 40 + 7 + 1 + 577 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4123839964176 + 81458567193600 = 2030724^2 + 9025440^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85582407157777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4551519991 + ... + 4551538793.

Almost surely, 2^{85582407157776} is an apocalyptic number.

85582407157776 is the 9251076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85582407157776

85582407157776 is an abundant number, since it is smaller than the sum of its proper divisors (159926760189421).

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

85582407157776 is an frugal number, since it uses more digits than its factorization.

85582407157776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37702 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 921984000, while the sum is 72.

The spelling of 85582407157776 in words is "eighty-five trillion, five hundred eighty-two billion, four hundred seven million, one hundred fifty-seven thousand, seven hundred seventy-six".