11257111000080 has 640 divisors, whose sum is σ = 45255774873600. Its totient is φ = 2542975948800.

The previous prime is 11257110999997. The next prime is 11257111000087. The reversal of 11257111000080 is 8000011175211.

11257111000080 is a `hidden beast` number, since 1 + 1 + 2 + 571 + 1 + 10 + 0 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11257111000087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27333447 + ... + 27742233.

It is an arithmetic number, because the mean of its divisors is an integer number (70712148240).

Almost surely, 2^{11257111000080} is an apocalyptic number.

11257111000080 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 11257111000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627887436800).

11257111000080 is an abundant number, since it is smaller than the sum of its proper divisors (33998663873520).

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

11257111000080 is a wasteful number, since it uses less digits than its factorization.

11257111000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408900 (or 408888 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 27.

Adding to 11257111000080 its reverse (8000011175211), we get a palindrome (19257122175291).

The spelling of 11257111000080 in words is "eleven trillion, two hundred fifty-seven billion, one hundred eleven million, eighty", and thus it is an aban number.