10005121533440 has 160 divisors (see below), whose sum is σ = 26198189994240. Its totient is φ = 3634257715200.

The previous prime is 10005121533437. The next prime is 10005121533469. The reversal of 10005121533440 is 4433512150001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25685735 + ... + 26072345.

It is an arithmetic number, because the mean of its divisors is an integer number (163738687464).

Almost surely, 2^{10005121533440} is an apocalyptic number.

10005121533440 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 10005121533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099094997120).

10005121533440 is an abundant number, since it is smaller than the sum of its proper divisors (16193068460800).

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

10005121533440 is an equidigital number, since it uses as much as digits as its factorization.

10005121533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387564 (or 387548 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 10005121533440 its reverse (4433512150001), we get a palindrome (14438633683441).

The spelling of 10005121533440 in words is "ten trillion, five billion, one hundred twenty-one million, five hundred thirty-three thousand, four hundred forty".