1813490566560 has 576 divisors, whose sum is σ = 6778341843840. Its totient is φ = 451271761920.

The previous prime is 1813490566541. The next prime is 1813490566567. The reversal of 1813490566560 is 656650943181.

1813490566560 is a `hidden beast` number, since 1 + 8 + 13 + 4 + 9 + 0 + 5 + 66 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1813490566497 and 1813490566506.

It is not an unprimeable number, because it can be changed into a prime (1813490566567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184512995 + ... + 1184514525.

It is an arithmetic number, because the mean of its divisors is an integer number (11767954590).

Almost surely, 2^{1813490566560} is an apocalyptic number.

1813490566560 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 1813490566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389170921920).

1813490566560 is an abundant number, since it is smaller than the sum of its proper divisors (4964851277280).

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

1813490566560 is a wasteful number, since it uses less digits than its factorization.

1813490566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1813490566560 in words is "one trillion, eight hundred thirteen billion, four hundred ninety million, five hundred sixty-six thousand, five hundred sixty".