1151273249280 has 1920 divisors, whose sum is σ = 5360931164160. Its totient is φ = 220995256320.

The previous prime is 1151273249279. The next prime is 1151273249293. The reversal of 1151273249280 is 829423721511.

1151273249280 is a `hidden beast` number, since 1 + 1 + 5 + 12 + 73 + 2 + 492 + 80 = 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1779401917 + ... + 1779402563.

It is an arithmetic number, because the mean of its divisors is an integer number (2792151648).

Almost surely, 2^{1151273249280} is an apocalyptic number.

1151273249280 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 1151273249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680465582080).

1151273249280 is an abundant number, since it is smaller than the sum of its proper divisors (4209657914880).

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

1151273249280 is a wasteful number, since it uses less digits than its factorization.

1151273249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1151273249280 in words is "one trillion, one hundred fifty-one billion, two hundred seventy-three million, two hundred forty-nine thousand, two hundred eighty".