42503083200 has 252 divisors, whose sum is σ = 155940727488. Its totient is φ = 10968422400.

The previous prime is 42503083111. The next prime is 42503083253. The reversal of 42503083200 is 238030524.

42503083200 is a `hidden beast` number, since 425 + 0 + 30 + 8 + 3 + 200 = 666.

It is a super-2 number, since 2×42503083200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398794 + ... + 494006.

Almost surely, 2^42503083200 is an apocalyptic number.

42503083200 is a gapful number since it is divisible by the number (40) 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 42503083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77970363744).

42503083200 is an abundant number, since it is smaller than the sum of its proper divisors (113437644288).

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

42503083200 is a wasteful number, since it uses less digits than its factorization.

42503083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95272 (or 95254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 42503083200 in words is "forty-two billion, five hundred three million, eighty-three thousand, two hundred".