1097780745600 has 1152 divisors, whose sum is σ = 4915277902080. Its totient is φ = 226636185600.

The previous prime is 1097780745539. The next prime is 1097780745623. The reversal of 1097780745600 is 65470877901.

1097780745600 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 7 + 8 + 0 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361467282 + ... + 361470318.

It is an arithmetic number, because the mean of its divisors is an integer number (4266734290).

Almost surely, 2^{1097780745600} is an apocalyptic number.

1097780745600 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 1097780745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457638951040).

1097780745600 is an abundant number, since it is smaller than the sum of its proper divisors (3817497156480).

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

1097780745600 is a wasteful number, since it uses less digits than its factorization.

1097780745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1097780745600 in words is "one trillion, ninety-seven billion, seven hundred eighty million, seven hundred forty-five thousand, six hundred".