11775445830720 has 2688 divisors, whose sum is σ = 54572360532480. Its totient is φ = 2348018565120.

The previous prime is 11775445830689. The next prime is 11775445830779. The reversal of 11775445830720 is 2703854457711.

11775445830720 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 54 + 4 + 583 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×11775445830720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7582385464 + ... + 7582387016.

It is an arithmetic number, because the mean of its divisors is an integer number (20302217460).

Almost surely, 2^{11775445830720} is an apocalyptic number.

11775445830720 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 11775445830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27286180266240).

11775445830720 is an abundant number, since it is smaller than the sum of its proper divisors (42796914701760).

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

11775445830720 is a wasteful number, since it uses less digits than its factorization.

11775445830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 11775445830720 in words is "eleven trillion, seven hundred seventy-five billion, four hundred forty-five million, eight hundred thirty thousand, seven hundred twenty".