1960455765600 has 1728 divisors, whose sum is σ = 8058444226560. Its totient is φ = 462715545600.

The previous prime is 1960455765599. The next prime is 1960455765617. The reversal of 1960455765600 is 65675540691.

1960455765600 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 4 + 5 + 5 + 76 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3992781355 + ... + 3992781845.

It is an arithmetic number, because the mean of its divisors is an integer number (4663451520).

Almost surely, 2^{1960455765600} is an apocalyptic number.

1960455765600 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 1960455765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029222113280).

1960455765600 is an abundant number, since it is smaller than the sum of its proper divisors (6097988460960).

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

1960455765600 is a wasteful number, since it uses less digits than its factorization.

1960455765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1960455765600 in words is "one trillion, nine hundred sixty billion, four hundred fifty-five million, seven hundred sixty-five thousand, six hundred".