85190408161920 has 192 divisors, whose sum is σ = 295220013252840. Its totient is φ = 22636596756480.

The previous prime is 85190408161879. The next prime is 85190408161949. The reversal of 85190408161920 is 2916180409158.

85190408161920 is a `hidden beast` number, since 8 + 5 + 1 + 90 + 408 + 1 + 61 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79271386288704 + 5919021873216 = 8903448^2 + 2432904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24698169 + ... + 27935288.

Almost surely, 2^{85190408161920} is an apocalyptic number.

85190408161920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85190408161920 is an abundant number, since it is smaller than the sum of its proper divisors (210029605090920).

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

85190408161920 is a wasteful number, since it uses less digits than its factorization.

85190408161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52633763 (or 52633748 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 85190408161920 in words is "eighty-five trillion, one hundred ninety billion, four hundred eight million, one hundred sixty-one thousand, nine hundred twenty".