1183120836480 has 640 divisors, whose sum is σ = 4667764147200. Its totient is φ = 283175792640.

The previous prime is 1183120836473. The next prime is 1183120836511. The reversal of 1183120836480 is 846380213811.

1183120836480 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 1 + 208 + 364 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45035829 + ... + 45062091.

It is an arithmetic number, because the mean of its divisors is an integer number (7293381480).

Almost surely, 2^{1183120836480} is an apocalyptic number.

1183120836480 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 1183120836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333882073600).

1183120836480 is an abundant number, since it is smaller than the sum of its proper divisors (3484643310720).

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

1183120836480 is a wasteful number, since it uses less digits than its factorization.

1183120836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26384 (or 26363 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1183120836480 in words is "one trillion, one hundred eighty-three billion, one hundred twenty million, eight hundred thirty-six thousand, four hundred eighty".