11775750480 has 240 divisors, whose sum is σ = 42709714320. Its totient is φ = 2890432512.

The previous prime is 11775750461. The next prime is 11775750521. The reversal of 11775750480 is 8405757711.

11775750480 is a `hidden beast` number, since 1 + 1 + 77 + 57 + 50 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 11775722256 = 168^2 + 108516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3714336 + ... + 3717504.

It is an arithmetic number, because the mean of its divisors is an integer number (177957143).

Almost surely, 2^11775750480 is an apocalyptic number.

11775750480 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 11775750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354857160).

11775750480 is an abundant number, since it is smaller than the sum of its proper divisors (30933963840).

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

11775750480 is a wasteful number, since it uses less digits than its factorization.

11775750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 11775750480 in words is "eleven billion, seven hundred seventy-five million, seven hundred fifty thousand, four hundred eighty".