282767225131566 has 160 divisors (see below), whose sum is σ = 750531095455680. Its totient is φ = 77855025830400.

The previous prime is 282767225131561. The next prime is 282767225131577. The reversal of 282767225131566 is 665131522767282.

282767225131566 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 6 + 7 + 2 + 251 + 315 + 66 = 666.

It is a super-2 number, since 2×282767225131566² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282767225131561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8881776 + ... + 25385436.

It is an arithmetic number, because the mean of its divisors is an integer number (4690819346598).

Almost surely, 2^{282767225131566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282767225131566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375265547727840).

282767225131566 is an abundant number, since it is smaller than the sum of its proper divisors (467763870324114).

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

282767225131566 is a wasteful number, since it uses less digits than its factorization.

282767225131566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504232 (or 16504223 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

It can be divided in two parts, 282767225 and 131566, that added together give a triangular number (282898791 = T₂₃₇₈₆).

The spelling of 282767225131566 in words is "two hundred eighty-two trillion, seven hundred sixty-seven billion, two hundred twenty-five million, one hundred thirty-one thousand, five hundred sixty-six".