85753388335104 has 1104 divisors, whose sum is σ = 298365973776000. Its totient is φ = 23705602228224.

The previous prime is 85753388335099. The next prime is 85753388335187. The reversal of 85753388335104 is 40153388335758.

85753388335104 is a `hidden beast` number, since 8 + 5 + 7 + 5 + 3 + 3 + 88 + 33 + 510 + 4 = 666.

It is a super-2 number, since 2×85753388335104² (a number of 29 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479069208487 + ... + 479069208665.

Almost surely, 2^{85753388335104} is an apocalyptic number.

85753388335104 is a gapful number since it is divisible by the number (84) 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 85753388335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149182986888000).

85753388335104 is an abundant number, since it is smaller than the sum of its proper divisors (212612585440896).

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

85753388335104 is an frugal number, since it uses more digits than its factorization.

85753388335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 85753388335104 in words is "eighty-five trillion, seven hundred fifty-three billion, three hundred eighty-eight million, three hundred thirty-five thousand, one hundred four".