283249612800 has 1440 divisors, whose sum is σ = 1309438690560. Its totient is φ = 58790707200.

The previous prime is 283249612769. The next prime is 283249612813. The reversal of 283249612800 is 8216942382.

283249612800 is a `hidden beast` number, since 2 + 8 + 3 + 24 + 9 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319333957 + ... + 319334843.

It is an arithmetic number, because the mean of its divisors is an integer number (909332424).

Almost surely, 2^283249612800 is an apocalyptic number.

283249612800 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 283249612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654719345280).

283249612800 is an abundant number, since it is smaller than the sum of its proper divisors (1026189077760).

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

283249612800 is a wasteful number, since it uses less digits than its factorization.

283249612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 283249612800 in words is "two hundred eighty-three billion, two hundred forty-nine million, six hundred twelve thousand, eight hundred".