11511541870080 has 960 divisors, whose sum is σ = 43408283263488. Its totient is φ = 2602207641600.

The previous prime is 11511541870057. The next prime is 11511541870099. The reversal of 11511541870080 is 8007814511511.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13036853319 + ... + 13036854201.

Almost surely, 2^{11511541870080} is an apocalyptic number.

11511541870080 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 11511541870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704141631744).

11511541870080 is an abundant number, since it is smaller than the sum of its proper divisors (31896741393408).

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

11511541870080 is an frugal number, since it uses more digits than its factorization.

11511541870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 42.

The spelling of 11511541870080 in words is "eleven trillion, five hundred eleven billion, five hundred forty-one million, eight hundred seventy thousand, eighty".