1073853778560 has 512 divisors, whose sum is σ = 3709201766400. Its totient is φ = 263441891328.

The previous prime is 1073853778489. The next prime is 1073853778603. The reversal of 1073853778560 is 658773583701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1073853778494 and 1073853778503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362419639 + ... + 362422601.

It is an arithmetic number, because the mean of its divisors is an integer number (7244534700).

Almost surely, 2^{1073853778560} is an apocalyptic number.

1073853778560 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 1073853778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854600883200).

1073853778560 is an abundant number, since it is smaller than the sum of its proper divisors (2635347987840).

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

1073853778560 is a wasteful number, since it uses less digits than its factorization.

1073853778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 1073853778560 in words is "one trillion, seventy-three billion, eight hundred fifty-three million, seven hundred seventy-eight thousand, five hundred sixty".