1960361095680 has 480 divisors, whose sum is σ = 7346422923840. Its totient is φ = 480247971840.

The previous prime is 1960361095661. The next prime is 1960361095711. The reversal of 1960361095680 is 865901630691.

1960361095680 is a `hidden beast` number, since 1 + 9 + 60 + 3 + 6 + 10 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1960361095680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63183211 + ... + 63214229.

It is an arithmetic number, because the mean of its divisors is an integer number (15305047758).

Almost surely, 2^{1960361095680} is an apocalyptic number.

1960361095680 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 1960361095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673211461920).

1960361095680 is an abundant number, since it is smaller than the sum of its proper divisors (5386061828160).

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

1960361095680 is a wasteful number, since it uses less digits than its factorization.

1960361095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31272 (or 31253 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1960361095680 in words is "one trillion, nine hundred sixty billion, three hundred sixty-one million, ninety-five thousand, six hundred eighty".