11257781760 has 240 divisors, whose sum is σ = 40435130736. Its totient is φ = 3001909248.

The previous prime is 11257781753. The next prime is 11257781761. The reversal of 11257781760 is 6718775211.

11257781760 is a `hidden beast` number, since 1 + 1 + 2 + 577 + 8 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257781761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613032 + ... + 631128.

Almost surely, 2^11257781760 is an apocalyptic number.

11257781760 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 11257781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217565368).

11257781760 is an abundant number, since it is smaller than the sum of its proper divisors (29177348976).

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

11257781760 is an frugal number, since it uses more digits than its factorization.

11257781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18135 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 11257781760 in words is "eleven billion, two hundred fifty-seven million, seven hundred eighty-one thousand, seven hundred sixty".