1187888532768 has 432 divisors, whose sum is σ = 4137121759680. Its totient is φ = 328433978880.

The previous prime is 1187888532749. The next prime is 1187888532791. The reversal of 1187888532768 is 8672358887811.

1187888532768 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 8 + 88 + 532 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1187888532768² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1187888532696 and 1187888532705.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52297798 + ... + 52320506.

It is an arithmetic number, because the mean of its divisors is an integer number (9576670740).

Almost surely, 2^{1187888532768} is an apocalyptic number.

1187888532768 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 1187888532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068560879840).

1187888532768 is an abundant number, since it is smaller than the sum of its proper divisors (2949233226912).

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

1187888532768 is an equidigital number, since it uses as much as digits as its factorization.

1187888532768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22803 (or 22752 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 72.

The spelling of 1187888532768 in words is "one trillion, one hundred eighty-seven billion, eight hundred eighty-eight million, five hundred thirty-two thousand, seven hundred sixty-eight".