1920117749760 has 1152 divisors, whose sum is σ = 7870671244800. Its totient is φ = 423859322880.

The previous prime is 1920117749741. The next prime is 1920117749789. The reversal of 1920117749760 is 679477110291.

It is a happy number.

1920117749760 is a `hidden beast` number, since 1 + 9 + 20 + 1 + 1 + 77 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1920117749697 and 1920117749706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2321786467 + ... + 2321787293.

It is an arithmetic number, because the mean of its divisors is an integer number (6832179900).

Almost surely, 2^{1920117749760} is an apocalyptic number.

1920117749760 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 1920117749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935335622400).

1920117749760 is an abundant number, since it is smaller than the sum of its proper divisors (5950553495040).

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

1920117749760 is a wasteful number, since it uses less digits than its factorization.

1920117749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 1920117749760 in words is "one trillion, nine hundred twenty billion, one hundred seventeen million, seven hundred forty-nine thousand, seven hundred sixty".