1151482625280 has 1440 divisors, whose sum is σ = 4628053317888. Its totient is φ = 271525478400.

The previous prime is 1151482625231. The next prime is 1151482625291. The reversal of 1151482625280 is 825262841511.

1151482625280 is a `hidden beast` number, since 1 + 1 + 5 + 14 + 8 + 2 + 625 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3702516325 + ... + 3702516635.

Almost surely, 2^{1151482625280} is an apocalyptic number.

1151482625280 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 1151482625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314026658944).

1151482625280 is an abundant number, since it is smaller than the sum of its proper divisors (3476570692608).

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

1151482625280 is a wasteful number, since it uses less digits than its factorization.

1151482625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1151482625280 in words is "one trillion, one hundred fifty-one billion, four hundred eighty-two million, six hundred twenty-five thousand, two hundred eighty".