5003012601600 has 1728 divisors, whose sum is σ = 19068064649088. Its totient is φ = 1146617856000.

The previous prime is 5003012601583. The next prime is 5003012601607. The reversal of 5003012601600 is 61062103005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003012601607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27640953510 + ... + 27640953690.

Almost surely, 2^{5003012601600} is an apocalyptic number.

5003012601600 is a gapful number since it is divisible by the number (50) 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 5003012601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534032324544).

5003012601600 is an abundant number, since it is smaller than the sum of its proper divisors (14065052047488).

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

5003012601600 is a wasteful number, since it uses less digits than its factorization.

5003012601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 5003012601600 its reverse (61062103005), we get a palindrome (5064074704605).

The spelling of 5003012601600 in words is "five trillion, three billion, twelve million, six hundred one thousand, six hundred".