1154580480000 has 1140 divisors, whose sum is σ = 4471392165240. Its totient is φ = 297271296000.

The previous prime is 1154580479999. The next prime is 1154580480037. The reversal of 1154580480000 is 840854511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39813119986 + ... + 39813120014.

Almost surely, 2^{1154580480000} is an apocalyptic number.

1154580480000 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 1154580480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235696082620).

1154580480000 is an abundant number, since it is smaller than the sum of its proper divisors (3316811685240).

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

1154580480000 is an frugal number, since it uses more digits than its factorization.

1154580480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 1154580480000 in words is "one trillion, one hundred fifty-four billion, five hundred eighty million, four hundred eighty thousand".