11257647113760 has 48 divisors (see below), whose sum is σ = 35461588409856. Its totient is φ = 3002039230208.

The previous prime is 11257647113759. The next prime is 11257647113837. The reversal of 11257647113760 is 6731174675211.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11726715264 + ... + 11726716223.

It is an arithmetic number, because the mean of its divisors is an integer number (738783091872).

Almost surely, 2^{11257647113760} is an apocalyptic number.

11257647113760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11257647113760 is an abundant number, since it is smaller than the sum of its proper divisors (24203941296096).

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

11257647113760 is a wasteful number, since it uses less digits than its factorization.

11257647113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23453431505 (or 23453431497 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 11257647113760 in words is "eleven trillion, two hundred fifty-seven billion, six hundred forty-seven million, one hundred thirteen thousand, seven hundred sixty".