1960872376320 has 2304 divisors, whose sum is σ = 8654426726400. Its totient is φ = 403439616000.

The previous prime is 1960872376319. The next prime is 1960872376349. The reversal of 1960872376320 is 236732780691.

1960872376320 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 87 + 237 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10266347425 + ... + 10266347615.

It is an arithmetic number, because the mean of its divisors is an integer number (3756261600).

Almost surely, 2^{1960872376320} is an apocalyptic number.

1960872376320 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 1960872376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327213363200).

1960872376320 is an abundant number, since it is smaller than the sum of its proper divisors (6693554350080).

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

1960872376320 is a wasteful number, since it uses less digits than its factorization.

1960872376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1960872376320 in words is "one trillion, nine hundred sixty billion, eight hundred seventy-two million, three hundred seventy-six thousand, three hundred twenty".