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1989989959680 = 21134541163359
BaseRepresentation
bin11100111101010100101…
…001010000100000000000
321001020111211012010010000
4130331110221100200000
5230100444412202210
64122104435040000
7263525543365032
oct34752451204000
97036454163100
101989989959680
116a7a4a4a9398
1228180b740000
1311586976cba8
146c45d275c52
1536b6e2d9ac0
hex1cf54a50800

1989989959680 has 960 divisors, whose sum is σ = 7372014249600. Its totient is φ = 513111490560.

The previous prime is 1989989959679. The next prime is 1989989959781. The reversal of 1989989959680 is 869599899891.

1989989959680 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 8 + 9 + 9 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5543147341 + ... + 5543147699.

It is an arithmetic number, because the mean of its divisors is an integer number (7679181510).

Almost surely, 21989989959680 is an apocalyptic number.

1989989959680 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 1989989959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686007124800).

1989989959680 is an abundant number, since it is smaller than the sum of its proper divisors (5382024289920).

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

1989989959680 is a wasteful number, since it uses less digits than its factorization.

1989989959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8162933760, while the sum is 90.

The spelling of 1989989959680 in words is "one trillion, nine hundred eighty-nine billion, nine hundred eighty-nine million, nine hundred fifty-nine thousand, six hundred eighty".