6001603238400 has 960 divisors, whose sum is σ = 24771674797056. Its totient is φ = 1244381184000.

The previous prime is 6001603238363. The next prime is 6001603238453. The reversal of 6001603238400 is 48323061006.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1546404460 + ... + 1546408340.

Almost surely, 2^{6001603238400} is an apocalyptic number.

6001603238400 is a gapful number since it is divisible by the number (60) 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 6001603238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385837398528).

6001603238400 is an abundant number, since it is smaller than the sum of its proper divisors (18770071558656).

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

6001603238400 is a wasteful number, since it uses less digits than its factorization.

6001603238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 6001603238400 its reverse (48323061006), we get a palindrome (6049926299406).

The spelling of 6001603238400 in words is "six trillion, one billion, six hundred three million, two hundred thirty-eight thousand, four hundred".