10589074741332 has 576 divisors, whose sum is σ = 30456497111040. Its totient is φ = 3096046437120.

The previous prime is 10589074741327. The next prime is 10589074741373. The reversal of 10589074741332 is 23314747098501.

10589074741332 is a `hidden beast` number, since 1 + 0 + 58 + 90 + 7 + 474 + 1 + 3 + 32 = 666.

It is a super-2 number, since 2×10589074741332² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17444933373 + ... + 17444933979.

It is an arithmetic number, because the mean of its divisors is an integer number (52875863040).

Almost surely, 2^{10589074741332} is an apocalyptic number.

10589074741332 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 10589074741332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228248555520).

10589074741332 is an abundant number, since it is smaller than the sum of its proper divisors (19867422369708).

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

10589074741332 is a wasteful number, since it uses less digits than its factorization.

10589074741332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10589074741332 in words is "ten trillion, five hundred eighty-nine billion, seventy-four million, seven hundred forty-one thousand, three hundred thirty-two".