85417241778 has 192 divisors, whose sum is σ = 216488847744. Its totient is φ = 24254208000.

The previous prime is 85417241743. The next prime is 85417241797. The reversal of 85417241778 is 87714271458.

It is a happy number.

85417241778 is a `hidden beast` number, since 8 + 54 + 172 + 417 + 7 + 8 = 666.

It is a super-2 number, since 2×85417241778² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163321425 + ... + 163321947.

It is an arithmetic number, because the mean of its divisors is an integer number (1127546082).

Almost surely, 2^85417241778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85417241778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108244423872).

85417241778 is an abundant number, since it is smaller than the sum of its proper divisors (131071605966).

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

85417241778 is a wasteful number, since it uses less digits than its factorization.

85417241778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 957 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The spelling of 85417241778 in words is "eighty-five billion, four hundred seventeen million, two hundred forty-one thousand, seven hundred seventy-eight".