11127383563000 has 256 divisors, whose sum is σ = 26387170467840. Its totient is φ = 4391849088000.

The previous prime is 11127383562983. The next prime is 11127383563039. The reversal of 11127383563000 is 36538372111.

It is a happy number.

It is a super-3 number, since 3×11127383563000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17198428677 + ... + 17198429323.

It is an arithmetic number, because the mean of its divisors is an integer number (103074884640).

Almost surely, 2^{11127383563000} is an apocalyptic number.

11127383563000 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 11127383563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193585233920).

11127383563000 is an abundant number, since it is smaller than the sum of its proper divisors (15259786904840).

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

11127383563000 is a wasteful number, since it uses less digits than its factorization.

11127383563000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 11127383563000 in words is "eleven trillion, one hundred twenty-seven billion, three hundred eighty-three million, five hundred sixty-three thousand".