85361667842880 has 3584 divisors, whose sum is σ = 373751335157760. Its totient is φ = 18209724825600.

The previous prime is 85361667842879. The next prime is 85361667842909. The reversal of 85361667842880 is 8824876616358.

85361667842880 is a `hidden beast` number, since 8 + 5 + 3 + 61 + 6 + 67 + 8 + 428 + 80 = 666.

It is a super-2 number, since 2×85361667842880² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 85361667842799 and 85361667842808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 523691213679 + ... + 523691213841.

It is an arithmetic number, because the mean of its divisors is an integer number (104283296640).

Almost surely, 2^{85361667842880} is an apocalyptic number.

85361667842880 is a gapful number since it is divisible by the number (80) 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 85361667842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186875667578880).

85361667842880 is an abundant number, since it is smaller than the sum of its proper divisors (288389667314880).

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

85361667842880 is a wasteful number, since it uses less digits than its factorization.

85361667842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 85361667842880 in words is "eighty-five trillion, three hundred sixty-one billion, six hundred sixty-seven million, eight hundred forty-two thousand, eight hundred eighty".