11775262128 has 60 divisors (see below), whose sum is σ = 35385871320. Its totient is φ = 3364359936.

The previous prime is 11775262123. The next prime is 11775262133. The reversal of 11775262128 is 82126257711.

It is an interprime number because it is at equal distance from previous prime (11775262123) and next prime (11775262133).

It is a super-3 number, since 3×11775262128³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11775262128.

It is not an unprimeable number, because it can be changed into a prime (11775262123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2500893 + ... + 2505596.

It is an arithmetic number, because the mean of its divisors is an integer number (589764522).

Almost surely, 2^11775262128 is an apocalyptic number.

It is an amenable number.

11775262128 is an abundant number, since it is smaller than the sum of its proper divisors (23610609192).

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

11775262128 is a wasteful number, since it uses less digits than its factorization.

11775262128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006514 (or 5006501 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The spelling of 11775262128 in words is "eleven billion, seven hundred seventy-five million, two hundred sixty-two thousand, one hundred twenty-eight".