665103993120 has 432 divisors, whose sum is σ = 2725402837248. Its totient is φ = 147119293440.

The previous prime is 665103993119. The next prime is 665103993121. The reversal of 665103993120 is 21399301566.

665103993120 is a `hidden beast` number, since 6 + 6 + 510 + 3 + 9 + 9 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (665103993119) and next prime (665103993121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (665103993121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2035327 + ... + 2339393.

It is an arithmetic number, because the mean of its divisors is an integer number (6308802864).

Almost surely, 2^665103993120 is an apocalyptic number.

665103993120 is a gapful number since it is divisible by the number (60) 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 665103993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362701418624).

665103993120 is an abundant number, since it is smaller than the sum of its proper divisors (2060298844128).

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

665103993120 is a wasteful number, since it uses less digits than its factorization.

665103993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304133 (or 304115 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 665103993120 in words is "six hundred sixty-five billion, one hundred three million, nine hundred ninety-three thousand, one hundred twenty".