1187417088000 has 2688 divisors, whose sum is σ = 5425464530304. Its totient is φ = 245366784000.

The previous prime is 1187417087977. The next prime is 1187417088007. The reversal of 1187417088000 is 8807147811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187417088007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22404095974 + ... + 22404096026.

It is an arithmetic number, because the mean of its divisors is an integer number (2018401983).

Almost surely, 2^{1187417088000} is an apocalyptic number.

1187417088000 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 1187417088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712732265152).

1187417088000 is an abundant number, since it is smaller than the sum of its proper divisors (4238047442304).

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

1187417088000 is a wasteful number, since it uses less digits than its factorization.

1187417088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 1187417088000 in words is "one trillion, one hundred eighty-seven billion, four hundred seventeen million, eighty-eight thousand".