11557864821000 has 128 divisors (see below), whose sum is σ = 36090180322560. Its totient is φ = 3079563776000.

The previous prime is 11557864820989. The next prime is 11557864821091. The reversal of 11557864821000 is 12846875511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068165 + ... + 5233835.

It is an arithmetic number, because the mean of its divisors is an integer number (281954533770).

Almost surely, 2^{11557864821000} is an apocalyptic number.

11557864821000 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 11557864821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045090161280).

11557864821000 is an abundant number, since it is smaller than the sum of its proper divisors (24532315501560).

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

11557864821000 is a wasteful number, since it uses less digits than its factorization.

11557864821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166912 (or 3166898 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 11557864821000 in words is "eleven trillion, five hundred fifty-seven billion, eight hundred sixty-four million, eight hundred twenty-one thousand".