1822017576960 has 1568 divisors, whose sum is σ = 7838801533440. Its totient is φ = 397303087104.

The previous prime is 1822017576949. The next prime is 1822017577021. The reversal of 1822017576960 is 696757102281.

1822017576960 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 0 + 1 + 7 + 576 + 9 + 60 = 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 = 1822017576897 and 1822017576906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4807434051 + ... + 4807434429.

Almost surely, 2^{1822017576960} is an apocalyptic number.

1822017576960 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 1822017576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919400766720).

1822017576960 is an abundant number, since it is smaller than the sum of its proper divisors (6016783956480).

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

1822017576960 is an frugal number, since it uses more digits than its factorization.

1822017576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1822017576960 in words is "one trillion, eight hundred twenty-two billion, seventeen million, five hundred seventy-six thousand, nine hundred sixty".