85392590929920 has 512 divisors, whose sum is σ = 304128117216000. Its totient is φ = 22732760678400.

The previous prime is 85392590929909. The next prime is 85392590929951. The reversal of 85392590929920 is 2992909529358.

85392590929920 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 2 + 590 + 9 + 2 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 2658615621 + ... + 2658647739.

Almost surely, 2^{85392590929920} is an apocalyptic number.

85392590929920 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 85392590929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064058608000).

85392590929920 is an abundant number, since it is smaller than the sum of its proper divisors (218735526286080).

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

85392590929920 is an equidigital number, since it uses as much as digits as its factorization.

85392590929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32764 (or 32730 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 85392590929920 in words is "eighty-five trillion, three hundred ninety-two billion, five hundred ninety million, nine hundred twenty-nine thousand, nine hundred twenty".