1218959911680 has 288 divisors, whose sum is σ = 4451607519744. Its totient is φ = 278468886528.

The previous prime is 1218959911627. The next prime is 1218959911681. The reversal of 1218959911680 is 861199598121.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1218959911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54205719 + ... + 54228201.

Almost surely, 2^{1218959911680} is an apocalyptic number.

1218959911680 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 1218959911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225803759872).

1218959911680 is an abundant number, since it is smaller than the sum of its proper divisors (3232647608064).

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

1218959911680 is a wasteful number, since it uses less digits than its factorization.

1218959911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24531 (or 24517 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 60.

The spelling of 1218959911680 in words is "one trillion, two hundred eighteen billion, nine hundred fifty-nine million, nine hundred eleven thousand, six hundred eighty".