11178673090560 has 1664 divisors, whose sum is σ = 42463653765120. Its totient is φ = 2820679925760.

The previous prime is 11178673090517. The next prime is 11178673090577. The reversal of 11178673090560 is 6509037687111.

11178673090560 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 8 + 6 + 73 + 0 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×11178673090560² (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 a junction number, because it is equal to n+sod(n) for n = 11178673090497 and 11178673090506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115244052432 + ... + 115244052528.

Almost surely, 2^{11178673090560} is an apocalyptic number.

11178673090560 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 11178673090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231826882560).

11178673090560 is an abundant number, since it is smaller than the sum of its proper divisors (31284980674560).

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

11178673090560 is an frugal number, since it uses more digits than its factorization.

11178673090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 11178673090560 in words is "eleven trillion, one hundred seventy-eight billion, six hundred seventy-three million, ninety thousand, five hundred sixty".