2083656960000 has 3360 divisors, whose sum is σ = 10067406148800. Its totient is φ = 418037760000.

The previous prime is 2083656959981. The next prime is 2083656960013. The reversal of 2083656960000 is 696563802.

It is a happy number.

2083656960000 is a `hidden beast` number, since 2 + 0 + 8 + 36 + 5 + 6 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

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 279 ways as a sum of consecutive naturals, for example, 71850239986 + ... + 71850240014.

It is an arithmetic number, because the mean of its divisors is an integer number (2996251830).

Almost surely, 2^{2083656960000} is an apocalyptic number.

2083656960000 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 2083656960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033703074400).

2083656960000 is an abundant number, since it is smaller than the sum of its proper divisors (7983749188800).

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

2083656960000 is an frugal number, since it uses more digits than its factorization.

2083656960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2083656960000 in words is "two trillion, eighty-three billion, six hundred fifty-six million, nine hundred sixty thousand".