185193378420 has 96 divisors (see below), whose sum is σ = 528631488000. Its totient is φ = 48432344064.

The previous prime is 185193378401. The next prime is 185193378421. The reversal of 185193378420 is 24873391581.

185193378420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×185193378420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185193378421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575152 + ... + 837368.

It is an arithmetic number, because the mean of its divisors is an integer number (5506578000).

Almost surely, 2^185193378420 is an apocalyptic number.

185193378420 is a gapful number since it is divisible by the number (10) 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 185193378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264315744000).

185193378420 is an abundant number, since it is smaller than the sum of its proper divisors (343438109580).

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

185193378420 is a wasteful number, since it uses less digits than its factorization.

185193378420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262457 (or 262455 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 185193378420 in words is "one hundred eighty-five billion, one hundred ninety-three million, three hundred seventy-eight thousand, four hundred twenty".