11023596185140 has 384 divisors, whose sum is σ = 32279036461056. Its totient is φ = 3056707584000.

The previous prime is 11023596185137. The next prime is 11023596185149. The reversal of 11023596185140 is 4158169532011.

It is a super-2 number, since 2×11023596185140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023596185149) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 34740000 + ... + 35055880.

It is an arithmetic number, because the mean of its divisors is an integer number (84059990784).

Almost surely, 2^{11023596185140} is an apocalyptic number.

11023596185140 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 11023596185140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139518230528).

11023596185140 is an abundant number, since it is smaller than the sum of its proper divisors (21255440275916).

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

11023596185140 is a wasteful number, since it uses less digits than its factorization.

11023596185140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315999 (or 315997 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 11023596185140 in words is "eleven trillion, twenty-three billion, five hundred ninety-six million, one hundred eighty-five thousand, one hundred forty".