11162140000 has 240 divisors, whose sum is σ = 30289366800. Its totient is φ = 4014080000.

The previous prime is 11162139953. The next prime is 11162140019. The reversal of 11162140000 is 4126111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24859776 + ... + 24860224.

It is an arithmetic number, because the mean of its divisors is an integer number (126205695).

Almost surely, 2^11162140000 is an apocalyptic number.

11162140000 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 11162140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144683400).

11162140000 is an abundant number, since it is smaller than the sum of its proper divisors (19127226800).

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

11162140000 is a wasteful number, since it uses less digits than its factorization.

11162140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11162140000 its reverse (4126111), we get a palindrome (11166266111).

The spelling of 11162140000 in words is "eleven billion, one hundred sixty-two million, one hundred forty thousand".