11227725368640 has 560 divisors, whose sum is σ = 44391943728000. Its totient is φ = 2670513131520.

The previous prime is 11227725368567. The next prime is 11227725368677. The reversal of 11227725368640 is 4686352772211.

11227725368640 is a `hidden beast` number, since 1 + 1 + 2 + 27 + 7 + 2 + 536 + 86 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14739861 + ... + 15482859.

Almost surely, 2^{11227725368640} is an apocalyptic number.

11227725368640 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 11227725368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195971864000).

11227725368640 is an abundant number, since it is smaller than the sum of its proper divisors (33164218359360).

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

11227725368640 is a wasteful number, since it uses less digits than its factorization.

11227725368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743092 (or 743073 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 11227725368640 in words is "eleven trillion, two hundred twenty-seven billion, seven hundred twenty-five million, three hundred sixty-eight thousand, six hundred forty".