1101509815680 has 512 divisors, whose sum is σ = 4134965760000. Its totient is φ = 276169457664.

The previous prime is 1101509815633. The next prime is 1101509815711. The reversal of 1101509815680 is 865189051011.

1101509815680 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 5 + 0 + 9 + 81 + 568 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 499097137 + ... + 499099343.

It is an arithmetic number, because the mean of its divisors is an integer number (8076105000).

Almost surely, 2^{1101509815680} is an apocalyptic number.

1101509815680 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 1101509815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067482880000).

1101509815680 is an abundant number, since it is smaller than the sum of its proper divisors (3033455944320).

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

1101509815680 is a wasteful number, since it uses less digits than its factorization.

1101509815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 45.

The spelling of 1101509815680 in words is "one trillion, one hundred one billion, five hundred nine million, eight hundred fifteen thousand, six hundred eighty".