11730038621700 has 216 divisors, whose sum is σ = 39504758950272. Its totient is φ = 2679467454720.

The previous prime is 11730038621689. The next prime is 11730038621723. The reversal of 11730038621700 is 712683003711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23226069 + ... + 23725731.

Almost surely, 2^{11730038621700} is an apocalyptic number.

11730038621700 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 11730038621700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752379475136).

11730038621700 is an abundant number, since it is smaller than the sum of its proper divisors (27774720328572).

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

11730038621700 is a wasteful number, since it uses less digits than its factorization.

11730038621700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501291 (or 501277 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 11730038621700 in words is "eleven trillion, seven hundred thirty billion, thirty-eight million, six hundred twenty-one thousand, seven hundred".