1659279312990 has 672 divisors, whose sum is σ = 5235884115840. Its totient is φ = 375941357568.

The previous prime is 1659279312961. The next prime is 1659279313039. The reversal of 1659279312990 is 992139729561.

1659279312990 is a `hidden beast` number, since 1 + 6 + 592 + 7 + 9 + 31 + 2 + 9 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1287260266 + ... + 1287261554.

It is an arithmetic number, because the mean of its divisors is an integer number (7791494220).

Almost surely, 2^{1659279312990} is an apocalyptic number.

1659279312990 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 1659279312990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617942057920).

1659279312990 is an abundant number, since it is smaller than the sum of its proper divisors (3576604802850).

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

1659279312990 is a wasteful number, since it uses less digits than its factorization.

1659279312990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 1659279312990 in words is "one trillion, six hundred fifty-nine billion, two hundred seventy-nine million, three hundred twelve thousand, nine hundred ninety".