1821813826560 has 1408 divisors, whose sum is σ = 7610831155200. Its totient is φ = 361184624640.

The previous prime is 1821813826531. The next prime is 1821813826583. The reversal of 1821813826560 is 656283181281.

It is a super-2 number, since 2×1821813826560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4806896451 + ... + 4806896829.

Almost surely, 2^{1821813826560} is an apocalyptic number.

1821813826560 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 1821813826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805415577600).

1821813826560 is an abundant number, since it is smaller than the sum of its proper divisors (5789017328640).

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

1821813826560 is a wasteful number, since it uses less digits than its factorization.

1821813826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 1821813826560 in words is "one trillion, eight hundred twenty-one billion, eight hundred thirteen million, eight hundred twenty-six thousand, five hundred sixty".