85840343522640 has 1680 divisors, whose sum is σ = 380456756352000. Its totient is φ = 17870487183360.

The previous prime is 85840343522629. The next prime is 85840343522711. The reversal of 85840343522640 is 4622534304858.

85840343522640 is a `hidden beast` number, since 8 + 5 + 8 + 40 + 34 + 3 + 522 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1505968861 + ... + 1506025859.

Almost surely, 2^{85840343522640} is an apocalyptic number.

85840343522640 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 85840343522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190228378176000).

85840343522640 is an abundant number, since it is smaller than the sum of its proper divisors (294616412829360).

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

85840343522640 is a wasteful number, since it uses less digits than its factorization.

85840343522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57092 (or 57064 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 85840343522640 in words is "eighty-five trillion, eight hundred forty billion, three hundred forty-three million, five hundred twenty-two thousand, six hundred forty".