503749737120 has 1152 divisors, whose sum is σ = 1992033533952. Its totient is φ = 106483507200.

The previous prime is 503749737107. The next prime is 503749737187. The reversal of 503749737120 is 21737947305.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 503749737120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1915398109 + ... + 1915398371.

It is an arithmetic number, because the mean of its divisors is an integer number (1729195776).

Almost surely, 2^503749737120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503749737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996016766976).

503749737120 is an abundant number, since it is smaller than the sum of its proper divisors (1488283796832).

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

503749737120 is a wasteful number, since it uses less digits than its factorization.

503749737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 503749737120 in words is "five hundred three billion, seven hundred forty-nine million, seven hundred thirty-seven thousand, one hundred twenty".