11587147920100 has 81 divisors (see below), whose sum is σ = 25498737529083. Its totient is φ = 4570387597440.

The previous prime is 11587147920067. The next prime is 11587147920121. The reversal of 11587147920100 is 102974178511.

The square root of 11587147920100 is 3403990.

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 63404247204 + 11523743672896 = 251802^2 + 3394664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2484910369 + ... + 2484915031.

Almost surely, 2^{11587147920100} is an apocalyptic number.

11587147920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11587147920100 is the 3403990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11587147920100

11587147920100 is an abundant number, since it is smaller than the sum of its proper divisors (13911589608983).

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

11587147920100 is an frugal number, since it uses more digits than its factorization.

11587147920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 46.

The spelling of 11587147920100 in words is "eleven trillion, five hundred eighty-seven billion, one hundred forty-seven million, nine hundred twenty thousand, one hundred".