1820528417232 has 1200 divisors, whose sum is σ = 6721407897600. Its totient is φ = 475079012352.

The previous prime is 1820528417203. The next prime is 1820528417233. The reversal of 1820528417232 is 2327148250281.

1820528417232 is a `hidden beast` number, since 1 + 8 + 20 + 528 + 4 + 1 + 72 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820528417233) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4753337713 + ... + 4753338095.

It is an arithmetic number, because the mean of its divisors is an integer number (5601173248).

Almost surely, 2^{1820528417232} is an apocalyptic number.

1820528417232 is a gapful number since it is divisible by the number (12) 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 1820528417232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360703948800).

1820528417232 is an abundant number, since it is smaller than the sum of its proper divisors (4900879480368).

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

1820528417232 is a wasteful number, since it uses less digits than its factorization.

1820528417232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1820528417232 in words is "one trillion, eight hundred twenty billion, five hundred twenty-eight million, four hundred seventeen thousand, two hundred thirty-two".