11171400000 has 336 divisors, whose sum is σ = 37891199808. Its totient is φ = 2903040000.

The previous prime is 11171399983. The next prime is 11171400013. The reversal of 11171400000 is 417111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25799784 + ... + 25800216.

It is an arithmetic number, because the mean of its divisors is an integer number (112771428).

Almost surely, 2^11171400000 is an apocalyptic number.

11171400000 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 11171400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945599904).

11171400000 is an abundant number, since it is smaller than the sum of its proper divisors (26719799808).

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

11171400000 is an frugal number, since it uses more digits than its factorization.

11171400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 11171400000 its reverse (417111), we get a palindrome (11171817111).

The spelling of 11171400000 in words is "eleven billion, one hundred seventy-one million, four hundred thousand".