1960449955200 has 1536 divisors, whose sum is σ = 8408997504000. Its totient is φ = 440745984000.

The previous prime is 1960449955199. The next prime is 1960449955201. The reversal of 1960449955200 is 25599440691.

1960449955200 is a `hidden beast` number, since 1 + 9 + 60 + 449 + 95 + 52 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1960449955199) and next prime (1960449955201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960449955201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1147131946 + ... + 1147133654.

It is an arithmetic number, because the mean of its divisors is an integer number (5474607750).

Almost surely, 2^{1960449955200} is an apocalyptic number.

1960449955200 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 1960449955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204498752000).

1960449955200 is an abundant number, since it is smaller than the sum of its proper divisors (6448547548800).

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

1960449955200 is a wasteful number, since it uses less digits than its factorization.

1960449955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1960449955200 in words is "one trillion, nine hundred sixty billion, four hundred forty-nine million, nine hundred fifty-five thousand, two hundred".