10003280601600 has 1440 divisors, whose sum is σ = 43509880814400. Its totient is φ = 2161203609600.

The previous prime is 10003280601539. The next prime is 10003280601641. The reversal of 10003280601600 is 610608230001.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 477723931 + ... + 477744869.

It is an arithmetic number, because the mean of its divisors is an integer number (30215195010).

Almost surely, 2^{10003280601600} is an apocalyptic number.

10003280601600 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 10003280601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21754940407200).

10003280601600 is an abundant number, since it is smaller than the sum of its proper divisors (33506600212800).

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

10003280601600 is a wasteful number, since it uses less digits than its factorization.

10003280601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21026 (or 21002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10003280601600 its reverse (610608230001), we get a palindrome (10613888831601).

The spelling of 10003280601600 in words is "ten trillion, three billion, two hundred eighty million, six hundred one thousand, six hundred".