11137146720 has 192 divisors, whose sum is σ = 40545308160. Its totient is φ = 2516963328.

The previous prime is 11137146719. The next prime is 11137146749. The reversal of 11137146720 is 2764173111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280419 + ... + 317661.

It is an arithmetic number, because the mean of its divisors is an integer number (211173480).

Almost surely, 2^11137146720 is an apocalyptic number.

11137146720 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 11137146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272654080).

11137146720 is an abundant number, since it is smaller than the sum of its proper divisors (29408161440).

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

11137146720 is a wasteful number, since it uses less digits than its factorization.

11137146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37357 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 11137146720 in words is "eleven billion, one hundred thirty-seven million, one hundred forty-six thousand, seven hundred twenty".