11775233280 has 288 divisors, whose sum is σ = 39806000640. Its totient is φ = 2958336000.

The previous prime is 11775233273. The next prime is 11775233291. The reversal of 11775233280 is 8233257711.

It is a super-2 number, since 2×11775233280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18312639 + ... + 18313281.

It is an arithmetic number, because the mean of its divisors is an integer number (138215280).

Almost surely, 2^11775233280 is an apocalyptic number.

11775233280 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 11775233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903000320).

11775233280 is an abundant number, since it is smaller than the sum of its proper divisors (28030767360).

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

11775233280 is a wasteful number, since it uses less digits than its factorization.

11775233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 11775233280 in words is "eleven billion, seven hundred seventy-five million, two hundred thirty-three thousand, two hundred eighty".