1189616712480 has 1920 divisors, whose sum is σ = 5419360235520. Its totient is φ = 239446056960.

The previous prime is 1189616712451. The next prime is 1189616712481. The reversal of 1189616712480 is 842176169811.

1189616712480 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 616 + 7 + 12 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×1189616712480² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1189616712481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1466851275 + ... + 1466852085.

It is an arithmetic number, because the mean of its divisors is an integer number (2822583456).

Almost surely, 2^{1189616712480} is an apocalyptic number.

1189616712480 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 1189616712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709680117760).

1189616712480 is an abundant number, since it is smaller than the sum of its proper divisors (4229743523040).

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

1189616712480 is a wasteful number, since it uses less digits than its factorization.

1189616712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1189616712480 in words is "one trillion, one hundred eighty-nine billion, six hundred sixteen million, seven hundred twelve thousand, four hundred eighty".