1187130447360 has 1920 divisors, whose sum is σ = 5096193822720. Its totient is φ = 251441971200.

The previous prime is 1187130447341. The next prime is 1187130447367. The reversal of 1187130447360 is 637440317811.

1187130447360 is a `hidden beast` number, since 1 + 18 + 7 + 130 + 447 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (1187130447367) 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, 6026042782 + ... + 6026042978.

It is an arithmetic number, because the mean of its divisors is an integer number (2654267616).

Almost surely, 2^{1187130447360} is an apocalyptic number.

1187130447360 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 1187130447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548096911360).

1187130447360 is an abundant number, since it is smaller than the sum of its proper divisors (3909063375360).

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

1187130447360 is a wasteful number, since it uses less digits than its factorization.

1187130447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1187130447360 in words is "one trillion, one hundred eighty-seven billion, one hundred thirty million, four hundred forty-seven thousand, three hundred sixty".