42873753600 has 468 divisors, whose sum is σ = 159344568656. Its totient is φ = 11426365440.

The previous prime is 42873753553. The next prime is 42873753617. The reversal of 42873753600 is 635737824.

42873753600 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 37 + 5 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24882339 + ... + 24884061.

Almost surely, 2^42873753600 is an apocalyptic number.

42873753600 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 42873753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672284328).

42873753600 is an abundant number, since it is smaller than the sum of its proper divisors (116470815056).

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

42873753600 is an equidigital number, since it uses as much as digits as its factorization.

42873753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42873753600 in words is "forty-two billion, eight hundred seventy-three million, seven hundred fifty-three thousand, six hundred".