1822961911680 has 2048 divisors, whose sum is σ = 8266406400000. Its totient is φ = 377162956800.

The previous prime is 1822961911663. The next prime is 1822961911751. The reversal of 1822961911680 is 861191692281.

1822961911680 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 9 + 619 + 1 + 16 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4546039480 + ... + 4546039880.

It is an arithmetic number, because the mean of its divisors is an integer number (4036331250).

Almost surely, 2^{1822961911680} is an apocalyptic number.

1822961911680 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 1822961911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133203200000).

1822961911680 is an abundant number, since it is smaller than the sum of its proper divisors (6443444488320).

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

1822961911680 is a wasteful number, since it uses less digits than its factorization.

1822961911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1822961911680 in words is "one trillion, eight hundred twenty-two billion, nine hundred sixty-one million, nine hundred eleven thousand, six hundred eighty".