1920996034560 has 768 divisors, whose sum is σ = 7169093568000. Its totient is φ = 486994083840.

The previous prime is 1920996034513. The next prime is 1920996034603. The reversal of 1920996034560 is 654306990291.

1920996034560 is a `hidden beast` number, since 1 + 9 + 20 + 9 + 9 + 603 + 4 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1920996034497 and 1920996034506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150985406 + ... + 1150987074.

It is an arithmetic number, because the mean of its divisors is an integer number (9334757250).

Almost surely, 2^{1920996034560} is an apocalyptic number.

1920996034560 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 1920996034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584546784000).

1920996034560 is an abundant number, since it is smaller than the sum of its proper divisors (5248097533440).

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

1920996034560 is a wasteful number, since it uses less digits than its factorization.

1920996034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1920996034560 in words is "one trillion, nine hundred twenty billion, nine hundred ninety-six million, thirty-four thousand, five hundred sixty".