1188643921920 has 2240 divisors, whose sum is σ = 5456422895616. Its totient is φ = 240789749760.

The previous prime is 1188643921897. The next prime is 1188643921939. The reversal of 1188643921920 is 291293468811.

It is a happy number.

1188643921920 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 64 + 392 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9359400897 + ... + 9359401023.

Almost surely, 2^{1188643921920} is an apocalyptic number.

1188643921920 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 1188643921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728211447808).

1188643921920 is an abundant number, since it is smaller than the sum of its proper divisors (4267778973696).

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

1188643921920 is a wasteful number, since it uses less digits than its factorization.

1188643921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1188643921920 in words is "one trillion, one hundred eighty-eight billion, six hundred forty-three million, nine hundred twenty-one thousand, nine hundred twenty".