205148160000 has 1280 divisors, whose sum is σ = 884439388800. Its totient is φ = 46006272000.

The previous prime is 205148159989. The next prime is 205148160017. The reversal of 205148160000 is 61841502.

205148160000 is a `hidden beast` number, since 2 + 0 + 51 + 4 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 3870719974 + ... + 3870720026.

Almost surely, 2^205148160000 is an apocalyptic number.

205148160000 is a gapful number since it is divisible by the number (20) 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 205148160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442219694400).

205148160000 is an abundant number, since it is smaller than the sum of its proper divisors (679291228800).

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

205148160000 is an frugal number, since it uses more digits than its factorization.

205148160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 205148160000 in words is "two hundred five billion, one hundred forty-eight million, one hundred sixty thousand".