1960588044100 has 243 divisors, whose sum is σ = 5030302584951. Its totient is φ = 661347187200.

The previous prime is 1960588044089. The next prime is 1960588044133. The reversal of 1960588044100 is 14408850691.

The square root of 1960588044100 is 1400210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29177422596 + 1931410621504 = 170814^2 + 1389752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8135219980 + ... + 8135220220.

Almost surely, 2^{1960588044100} is an apocalyptic number.

1960588044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1960588044100 is the 1400210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960588044100

1960588044100 is an abundant number, since it is smaller than the sum of its proper divisors (3069714540851).

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

1960588044100 is an equidigital number, since it uses as much as digits as its factorization.

1960588044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 1960588044100 in words is "one trillion, nine hundred sixty billion, five hundred eighty-eight million, forty-four thousand, one hundred".