1111741562880 has 1008 divisors, whose sum is σ = 4332217160880. Its totient is φ = 272130637824.

The previous prime is 1111741562851. The next prime is 1111741562881. The reversal of 1111741562880 is 882651471111.

It is a happy number.

1111741562880 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 7 + 4 + 1 + 562 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111741562881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6210846631 + ... + 6210846809.

It is an arithmetic number, because the mean of its divisors is an integer number (4297834485).

Almost surely, 2^{1111741562880} is an apocalyptic number.

1111741562880 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 1111741562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166108580440).

1111741562880 is an abundant number, since it is smaller than the sum of its proper divisors (3220475598000).

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

1111741562880 is an frugal number, since it uses more digits than its factorization.

1111741562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 1111741562880 in words is "one trillion, one hundred eleven billion, seven hundred forty-one million, five hundred sixty-two thousand, eight hundred eighty".