1152531586080 has 768 divisors, whose sum is σ = 4913058447360. Its totient is φ = 246613745664.

The previous prime is 1152531586061. The next prime is 1152531586133. The reversal of 1152531586080 is 806851352511.

1152531586080 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 5 + 31 + 5 + 8 + 608 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 32671812 + ... + 32707068.

It is an arithmetic number, because the mean of its divisors is an integer number (6397211520).

Almost surely, 2^{1152531586080} is an apocalyptic number.

1152531586080 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 1152531586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456529223680).

1152531586080 is an abundant number, since it is smaller than the sum of its proper divisors (3760526861280).

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

1152531586080 is a wasteful number, since it uses less digits than its factorization.

1152531586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35358 (or 35344 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 1152531586080 in words is "one trillion, one hundred fifty-two billion, five hundred thirty-one million, five hundred eighty-six thousand, eighty".