11271601760490 has 432 divisors, whose sum is σ = 32047918202664. Its totient is φ = 2853071320320.

The previous prime is 11271601760477. The next prime is 11271601760519. The reversal of 11271601760490 is 9406710617211.

11271601760490 is a `hidden beast` number, since 1 + 1 + 27 + 1 + 6 + 0 + 17 + 604 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11270838840849 + 762919641 = 3357207^2 + 27621^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3341712444 + ... + 3341715816.

Almost surely, 2^{11271601760490} is an apocalyptic number.

11271601760490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11271601760490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023959101332).

11271601760490 is an abundant number, since it is smaller than the sum of its proper divisors (20776316442174).

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

11271601760490 is an frugal number, since it uses more digits than its factorization.

11271601760490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11271601760490 in words is "eleven trillion, two hundred seventy-one billion, six hundred one million, seven hundred sixty thousand, four hundred ninety".