85836402993600 has 2016 divisors, whose sum is σ = 376672768542720. Its totient is φ = 18939432960000.

The previous prime is 85836402993559. The next prime is 85836402993611. The reversal of 85836402993600 is 639920463858.

85836402993600 is a `hidden beast` number, since 8 + 5 + 83 + 6 + 402 + 9 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 30644912200 + ... + 30644915000.

Almost surely, 2^{85836402993600} is an apocalyptic number.

85836402993600 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 85836402993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188336384271360).

85836402993600 is an abundant number, since it is smaller than the sum of its proper divisors (290836365549120).

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

85836402993600 is a wasteful number, since it uses less digits than its factorization.

85836402993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 85836402993600 in words is "eighty-five trillion, eight hundred thirty-six billion, four hundred two million, nine hundred ninety-three thousand, six hundred".