85363105443840 has 832 divisors, whose sum is σ = 365084481561600. Its totient is φ = 18484626456576.

The previous prime is 85363105443779. The next prime is 85363105443893. The reversal of 85363105443840 is 4834450136358.

85363105443840 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 3 + 10 + 544 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×85363105443840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72963324 + ... + 74124036.

Almost surely, 2^{85363105443840} is an apocalyptic number.

85363105443840 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 85363105443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182542240780800).

85363105443840 is an abundant number, since it is smaller than the sum of its proper divisors (279721376117760).

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

85363105443840 is a wasteful number, since it uses less digits than its factorization.

85363105443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160777 (or 1160749 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 85363105443840 in words is "eighty-five trillion, three hundred sixty-three billion, one hundred five million, four hundred forty-three thousand, eight hundred forty".