283225580789760 has 672 divisors, whose sum is σ = 1122300875771712. Its totient is φ = 64722472796160.

The previous prime is 283225580789729. The next prime is 283225580789761. The reversal of 283225580789760 is 67987085522382.

It is a happy number.

283225580789760 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 2 + 558 + 0 + 7 + 8 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×283225580789760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283225580789761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14556477952 + ... + 14556497408.

It is an arithmetic number, because the mean of its divisors is an integer number (1670090588946).

Almost surely, 2^{283225580789760} is an apocalyptic number.

283225580789760 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 283225580789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561150437885856).

283225580789760 is an abundant number, since it is smaller than the sum of its proper divisors (839075294981952).

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

283225580789760 is a wasteful number, since it uses less digits than its factorization.

283225580789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 283225580789760 in words is "two hundred eighty-three trillion, two hundred twenty-five billion, five hundred eighty million, seven hundred eighty-nine thousand, seven hundred sixty".