1828563093504 has 1728 divisors, whose sum is σ = 7060238640000. Its totient is φ = 444717858816.

The previous prime is 1828563093437. The next prime is 1828563093541. The reversal of 1828563093504 is 4053903658281.

1828563093504 is a `hidden beast` number, since 1 + 8 + 28 + 563 + 0 + 9 + 3 + 50 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20545652692 + ... + 20545652780.

It is an arithmetic number, because the mean of its divisors is an integer number (4085786250).

Almost surely, 2^{1828563093504} is an apocalyptic number.

1828563093504 is a gapful number since it is divisible by the number (14) 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 1828563093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530119320000).

1828563093504 is an abundant number, since it is smaller than the sum of its proper divisors (5231675546496).

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

1828563093504 is a wasteful number, since it uses less digits than its factorization.

1828563093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1828563093504 in words is "one trillion, eight hundred twenty-eight billion, five hundred sixty-three million, ninety-three thousand, five hundred four".