185220745590690 has 160 divisors (see below), whose sum is σ = 515560156125696. Its totient is φ = 47663492152320.

The previous prime is 185220745590649. The next prime is 185220745590737. The reversal of 185220745590690 is 96095547022581.

185220745590690 is a `hidden beast` number, since 1 + 8 + 5 + 2 + 2 + 0 + 7 + 455 + 90 + 6 + 90 = 666.

It is a super-2 number, since 2×185220745590690² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1584292 + ... + 19311951.

Almost surely, 2^{185220745590690} is an apocalyptic number.

185220745590690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 185220745590690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257780078062848).

185220745590690 is an abundant number, since it is smaller than the sum of its proper divisors (330339410535006).

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

185220745590690 is a wasteful number, since it uses less digits than its factorization.

185220745590690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20896646 (or 20896637 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 185220745590690 in words is "one hundred eighty-five trillion, two hundred twenty billion, seven hundred forty-five million, five hundred ninety thousand, six hundred ninety".