11392116938760 has 256 divisors, whose sum is σ = 37575830016000. Its totient is φ = 2750194529280.

The previous prime is 11392116938723. The next prime is 11392116938819. The reversal of 11392116938760 is 6783961129311.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11392116938760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53960286 + ... + 54170994.

It is an arithmetic number, because the mean of its divisors is an integer number (146780586000).

Almost surely, 2^{11392116938760} is an apocalyptic number.

11392116938760 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 11392116938760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787915008000).

11392116938760 is an abundant number, since it is smaller than the sum of its proper divisors (26183713077240).

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

11392116938760 is a wasteful number, since it uses less digits than its factorization.

11392116938760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211796 (or 211792 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 11392116938760 in words is "eleven trillion, three hundred ninety-two billion, one hundred sixteen million, nine hundred thirty-eight thousand, seven hundred sixty".