1960601448960 has 2160 divisors, whose sum is σ = 8993034033984. Its totient is φ = 400719052800.

The previous prime is 1960601448959. The next prime is 1960601448973. The reversal of 1960601448960 is 698441060691.

It is a happy number.

1960601448960 is a `hidden beast` number, since 1 + 96 + 0 + 6 + 0 + 14 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 1960601448897 and 1960601448906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32141007330 + ... + 32141007390.

Almost surely, 2^{1960601448960} is an apocalyptic number.

1960601448960 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 1960601448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496517016992).

1960601448960 is an abundant number, since it is smaller than the sum of its proper divisors (7032432585024).

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

1960601448960 is an frugal number, since it uses more digits than its factorization.

1960601448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1960601448960 in words is "one trillion, nine hundred sixty billion, six hundred one million, four hundred forty-eight thousand, nine hundred sixty".