1111248875520 has 1820 divisors, whose sum is σ = 4814724319296. Its totient is φ = 245806202880.

The previous prime is 1111248875459. The next prime is 1111248875543. The reversal of 1111248875520 is 255788421111.

1111248875520 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 48 + 87 + 5 + 520 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 35846737905 + ... + 35846737935.

Almost surely, 2^{1111248875520} is an apocalyptic number.

1111248875520 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 1111248875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407362159648).

1111248875520 is an abundant number, since it is smaller than the sum of its proper divisors (3703475443776).

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

1111248875520 is an frugal number, since it uses more digits than its factorization.

1111248875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 1111248875520 in words is "one trillion, one hundred eleven billion, two hundred forty-eight million, eight hundred seventy-five thousand, five hundred twenty".