503253020424000 has 896 divisors, whose sum is σ = 2110872206536704. Its totient is φ = 102598978560000.

The previous prime is 503253020423999. The next prime is 503253020424023. The reversal of 503253020424000 is 424020352305.

It is a super-2 number, since 2×503253020424000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95374915 + ... + 100513085.

Almost surely, 2^{503253020424000} is an apocalyptic number.

503253020424000 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 503253020424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055436103268352).

503253020424000 is an abundant number, since it is smaller than the sum of its proper divisors (1607619186112704).

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

503253020424000 is a wasteful number, since it uses less digits than its factorization.

503253020424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138272 (or 5138252 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 503253020424000 its reverse (424020352305), we get a palindrome (503677040776305).

The spelling of 503253020424000 in words is "five hundred three trillion, two hundred fifty-three billion, twenty million, four hundred twenty-four thousand".