1188542464560 has 800 divisors, whose sum is σ = 4614400498752. Its totient is φ = 281083944960.

The previous prime is 1188542464519. The next prime is 1188542464561. The reversal of 1188542464560 is 654642458811.

1188542464560 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 54 + 24 + 6 + 4 + 560 = 666.

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 = 1188542464497 and 1188542464506.

It is not an unprimeable number, because it can be changed into a prime (1188542464561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 744233682 + ... + 744235278.

Almost surely, 2^{1188542464560} is an apocalyptic number.

1188542464560 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 1188542464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307200249376).

1188542464560 is an abundant number, since it is smaller than the sum of its proper divisors (3425858034192).

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

1188542464560 is a wasteful number, since it uses less digits than its factorization.

1188542464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1188542464560 in words is "one trillion, one hundred eighty-eight billion, five hundred forty-two million, four hundred sixty-four thousand, five hundred sixty".