1960061644800 has 936 divisors, whose sum is σ = 8446265634560. Its totient is φ = 424407859200.

The previous prime is 1960061644777. The next prime is 1960061644817. The reversal of 1960061644800 is 84461600691.

1960061644800 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 0 + 6 + 164 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122564805 + ... + 122580795.

Almost surely, 2^{1960061644800} is an apocalyptic number.

1960061644800 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 1960061644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223132817280).

1960061644800 is an abundant number, since it is smaller than the sum of its proper divisors (6486203989760).

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

1960061644800 is a wasteful number, since it uses less digits than its factorization.

1960061644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1960061644800 in words is "one trillion, nine hundred sixty billion, sixty-one million, six hundred forty-four thousand, eight hundred".