85490405763840 has 2592 divisors, whose sum is σ = 386541287129088. Its totient is φ = 17057444659200.

The previous prime is 85490405763817. The next prime is 85490405763911. The reversal of 85490405763840 is 4836750409458.

85490405763840 is a `hidden beast` number, since 8 + 5 + 4 + 90 + 405 + 7 + 63 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41439846649 + ... + 41439848711.

Almost surely, 2^{85490405763840} is an apocalyptic number.

85490405763840 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 85490405763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193270643564544).

85490405763840 is an abundant number, since it is smaller than the sum of its proper divisors (301050881365248).

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

85490405763840 is a wasteful number, since it uses less digits than its factorization.

85490405763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 85490405763840 in words is "eighty-five trillion, four hundred ninety billion, four hundred five million, seven hundred sixty-three thousand, eight hundred forty".