10005327753600 has 768 divisors, whose sum is σ = 33906879820800. Its totient is φ = 2592453427200.

The previous prime is 10005327753599. The next prime is 10005327753649. The reversal of 10005327753600 is 635772350001.

It is a super-3 number, since 3×10005327753600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20377449355 + ... + 20377449845.

It is an arithmetic number, because the mean of its divisors is an integer number (44149583100).

Almost surely, 2^{10005327753600} is an apocalyptic number.

10005327753600 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 10005327753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953439910400).

10005327753600 is an abundant number, since it is smaller than the sum of its proper divisors (23901552067200).

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

10005327753600 is a wasteful number, since it uses less digits than its factorization.

10005327753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 10005327753600 in words is "ten trillion, five billion, three hundred twenty-seven million, seven hundred fifty-three thousand, six hundred".