1179545689140 has 1536 divisors, whose sum is σ = 4744449884160. Its totient is φ = 211855564800.

The previous prime is 1179545689139. The next prime is 1179545689141. The reversal of 1179545689140 is 419865459711.

It is an interprime number because it is at equal distance from previous prime (1179545689139) and next prime (1179545689141).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1179545689141) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2736764725 + ... + 2736765155.

It is an arithmetic number, because the mean of its divisors is an integer number (3088834560).

Almost surely, 2^{1179545689140} is an apocalyptic number.

1179545689140 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 1179545689140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372224942080).

1179545689140 is an abundant number, since it is smaller than the sum of its proper divisors (3564904195020).

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

1179545689140 is a wasteful number, since it uses less digits than its factorization.

1179545689140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 1179545689140 in words is "one trillion, one hundred seventy-nine billion, five hundred forty-five million, six hundred eighty-nine thousand, one hundred forty".