503992381200 has 720 divisors, whose sum is σ = 2156653751040. Its totient is φ = 99211392000.

The previous prime is 503992381177. The next prime is 503992381369. The reversal of 503992381200 is 2183299305.

It is a super-2 number, since 2×503992381200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12268695 + ... + 12309705.

It is an arithmetic number, because the mean of its divisors is an integer number (2995352432).

Almost surely, 2^503992381200 is an apocalyptic number.

503992381200 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 503992381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078326875520).

503992381200 is an abundant number, since it is smaller than the sum of its proper divisors (1652661369840).

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

503992381200 is a wasteful number, since it uses less digits than its factorization.

503992381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41076 (or 41058 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 503992381200 in words is "five hundred three billion, nine hundred ninety-two million, three hundred eighty-one thousand, two hundred".