283538049600 has 672 divisors, whose sum is σ = 1069017578496. Its totient is φ = 65175552000.

The previous prime is 283538049577. The next prime is 283538049611. The reversal of 283538049600 is 6940835382.

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 283538049600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145328625 + ... + 145330575.

It is an arithmetic number, because the mean of its divisors is an integer number (1590799968).

Almost surely, 2^283538049600 is an apocalyptic number.

283538049600 is a gapful number since it is divisible by the number (20) 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 283538049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534508789248).

283538049600 is an abundant number, since it is smaller than the sum of its proper divisors (785479528896).

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

283538049600 is a wasteful number, since it uses less digits than its factorization.

283538049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 283538049600 in words is "two hundred eighty-three billion, five hundred thirty-eight million, forty-nine thousand, six hundred".