282357000007950 has 384 divisors, whose sum is σ = 841642647994368. Its totient is φ = 61303566804480.

The previous prime is 282357000007949. The next prime is 282357000007961. The reversal of 282357000007950 is 59700000753282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 282357000007950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 332738097 + ... + 333585603.

It is an arithmetic number, because the mean of its divisors is an integer number (2191777729152).

Almost surely, 2^{282357000007950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282357000007950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420821323997184).

282357000007950 is an abundant number, since it is smaller than the sum of its proper divisors (559285647986418).

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

282357000007950 is a wasteful number, since it uses less digits than its factorization.

282357000007950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847776 (or 847771 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 282357000007950 in words is "two hundred eighty-two trillion, three hundred fifty-seven billion, seven thousand, nine hundred fifty".