11192198976 has 504 divisors, whose sum is σ = 40789738080. Its totient is φ = 3025548288.

The previous prime is 11192198939. The next prime is 11192199061. The reversal of 11192198976 is 67989129111.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14478526 + ... + 14479298.

It is an arithmetic number, because the mean of its divisors is an integer number (80932020).

Almost surely, 2^11192198976 is an apocalyptic number.

11192198976 is a gapful number since it is divisible by the number (16) 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 11192198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394869040).

11192198976 is an abundant number, since it is smaller than the sum of its proper divisors (29597539104).

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

11192198976 is an equidigital number, since it uses as much as digits as its factorization.

11192198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 804 counting only the distinct ones).

The product of its digits is 489888, while the sum is 54.

The spelling of 11192198976 in words is "eleven billion, one hundred ninety-two million, one hundred ninety-eight thousand, nine hundred seventy-six".