1659165900 has 288 divisors, whose sum is σ = 5672970240. Its totient is φ = 366612480.

The previous prime is 1659165889. The next prime is 1659165919. The reversal of 1659165900 is 95619561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12110632 + ... + 12110768.

Almost surely, 2^1659165900 is an apocalyptic number.

1659165900 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 1659165900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836485120).

1659165900 is an abundant number, since it is smaller than the sum of its proper divisors (4013804340).

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

1659165900 is a wasteful number, since it uses less digits than its factorization.

1659165900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 1659165900 is about 40732.8601991071. The cubic root of 1659165900 is about 1183.8497981410.

It can be divided in two parts, 1659 and 165900, that multiplied together give a square (275228100 = 16590²).

The spelling of 1659165900 in words is "one billion, six hundred fifty-nine million, one hundred sixty-five thousand, nine hundred".