85582407157758 has 96 divisors (see below), whose sum is σ = 224436369253824. Its totient is φ = 23008398299136.

The previous prime is 85582407157757. The next prime is 85582407157777. The reversal of 85582407157758 is 85775170428558.

85582407157758 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 2 + 40 + 7 + 1 + 577 + 5 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85582407157757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555066 + ... + 13853282.

It is an arithmetic number, because the mean of its divisors is an integer number (2337878846394).

Almost surely, 2^{85582407157758} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85582407157758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112218184626912).

85582407157758 is an abundant number, since it is smaller than the sum of its proper divisors (138853962096066).

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

85582407157758 is a wasteful number, since it uses less digits than its factorization.

85582407157758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9302546 (or 9302543 counting only the distinct ones).

The product of its (nonzero) digits is 878080000, while the sum is 72.

The spelling of 85582407157758 in words is "eighty-five trillion, five hundred eighty-two billion, four hundred seven million, one hundred fifty-seven thousand, seven hundred fifty-eight".