85582407157775 has 192 divisors, whose sum is σ = 125159759262720. Its totient is φ = 57357020160000.

The previous prime is 85582407157757. The next prime is 85582407157777. The reversal of 85582407157775 is 57775170428558.

It is a Cunningham number, because it is equal to 9251076²-1.

It is not a de Polignac number, because 85582407157775 - 2³⁶ = 85513687681039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85582407157699 and 85582407157708.

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 105527012120 + ... + 105527012930.

It is an arithmetic number, because the mean of its divisors is an integer number (651873746160).

Almost surely, 2^{85582407157775} is an apocalyptic number.

85582407157775 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85582407157775 is a deficient number, since it is larger than the sum of its proper divisors (39577352104945).

85582407157775 is a wasteful number, since it uses less digits than its factorization.

85582407157775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 768320000, while the sum is 71.

The spelling of 85582407157775 in words is "eighty-five trillion, five hundred eighty-two billion, four hundred seven million, one hundred fifty-seven thousand, seven hundred seventy-five".