1821515477760 has 1728 divisors, whose sum is σ = 7694672993280. Its totient is φ = 392398110720.

The previous prime is 1821515477729. The next prime is 1821515477797. The reversal of 1821515477760 is 677745151281.

It is a happy number.

1821515477760 is a `hidden beast` number, since 1 + 8 + 21 + 5 + 1 + 547 + 7 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1821515477697 and 1821515477706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4806109251 + ... + 4806109629.

It is an arithmetic number, because the mean of its divisors is an integer number (4452935760).

Almost surely, 2^{1821515477760} is an apocalyptic number.

1821515477760 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 1821515477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847336496640).

1821515477760 is an abundant number, since it is smaller than the sum of its proper divisors (5873157515520).

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

1821515477760 is a wasteful number, since it uses less digits than its factorization.

1821515477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 1821515477760 in words is "one trillion, eight hundred twenty-one billion, five hundred fifteen million, four hundred seventy-seven thousand, seven hundred sixty".