1901659066560 has 448 divisors, whose sum is σ = 7323255498240. Its totient is φ = 460709130240.

The previous prime is 1901659066553. The next prime is 1901659066631. The reversal of 1901659066560 is 656609561091.

1901659066560 is a `hidden beast` number, since 1 + 9 + 0 + 16 + 5 + 9 + 0 + 66 + 560 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 1901659066497 and 1901659066506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169830882 + ... + 169842078.

Almost surely, 2^{1901659066560} is an apocalyptic number.

1901659066560 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 1901659066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661627749120).

1901659066560 is an abundant number, since it is smaller than the sum of its proper divisors (5421596431680).

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

1901659066560 is a wasteful number, since it uses less digits than its factorization.

1901659066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 1901659066560 in words is "one trillion, nine hundred one billion, six hundred fifty-nine million, sixty-six thousand, five hundred sixty".