1187355967488 has 300 divisors, whose sum is σ = 3643324589212. Its totient is φ = 385072496640.

The previous prime is 1187355967487. The next prime is 1187355967507. The reversal of 1187355967488 is 8847695537811.

1187355967488 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 3 + 55 + 96 + 7 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 979244826624 + 208111140864 = 989568^2 + 456192^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1187355967487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49090758 + ... + 49114938.

Almost surely, 2^{1187355967488} is an apocalyptic number.

1187355967488 is a gapful number since it is divisible by the number (18) 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 1187355967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821662294606).

1187355967488 is an abundant number, since it is smaller than the sum of its proper divisors (2455968621724).

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

1187355967488 is an frugal number, since it uses more digits than its factorization.

1187355967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24258 (or 24223 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 1187355967488 in words is "one trillion, one hundred eighty-seven billion, three hundred fifty-five million, nine hundred sixty-seven thousand, four hundred eighty-eight".