1959132096100 has 27 divisors (see below), whose sum is σ = 4251347022027. Its totient is φ = 783647239680.

The previous prime is 1959132096067. The next prime is 1959132096151. The reversal of 1959132096100 is 16902319591.

It is a happy number.

The square root of 1959132096100 is 1399690.

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 909097413156 + 1050034682944 = 953466^2 + 1024712^2 .

It is a super-3 number, since 3×1959132096100³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13926916 + ... + 14066884.

Almost surely, 2^{1959132096100} is an apocalyptic number.

1959132096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1959132096100 is the 1399690-th square number.

It is an amenable number.

1959132096100 is an abundant number, since it is smaller than the sum of its proper divisors (2292214925927).

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

1959132096100 is an frugal number, since it uses more digits than its factorization.

1959132096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279952 (or 139976 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The spelling of 1959132096100 in words is "one trillion, nine hundred fifty-nine billion, one hundred thirty-two million, ninety-six thousand, one hundred".