11192097840 has 480 divisors, whose sum is σ = 44335019520. Its totient is φ = 2309529600.

The previous prime is 11192097809. The next prime is 11192097863. The reversal of 11192097840 is 4879029111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11192097792 and 11192097801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31175581 + ... + 31175939.

It is an arithmetic number, because the mean of its divisors is an integer number (92364624).

Almost surely, 2^11192097840 is an apocalyptic number.

11192097840 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 11192097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167509760).

11192097840 is an abundant number, since it is smaller than the sum of its proper divisors (33142921680).

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

11192097840 is a wasteful number, since it uses less digits than its factorization.

11192097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11192097840 in words is "eleven billion, one hundred ninety-two million, ninety-seven thousand, eight hundred forty".